(Some) descendants of William RUNCIMAN and Elizabeth JAMIESON
This chart is by no means complete, particularly as the connection was only found found via the dna project in Mar 2010.
It only contains those I have come across in my researches.
I am grateful for the help of Jen and Diane's "Scotland and Beyond" (2005).
Exactly how William connects to the Earlston and Wanton Walls line is completely unknown at this point, but see the RUNCIMAN Surname DNA Study for the suggested linkages between the connected RUNCIMANs
DNA Tested line
  • William0 Runciman (of Crail) (Mar 1729 - Jan 1765)
    • Catherine Wishart (cir. 1722 - Jul 1753)
      • Janet1 Runsiman (Sep 1749 - )
    • Elizabeth Jamieson (1728 - Jan 1763)
      • Margaret1 Runsyman (Oct 1755 - )
      • Elizabeth1 Runsyman (Jul 1757 - Jan 1830)
        • Charles Herkass (say 1755 - )
      • Helen1 Runsyman (May 1760 - )
        • Patrick Dudgeon (say 1760 - )
          • Mary2 Dudgeon (Sep 1781 - )
          • Alexander2 Dudgeon (Mar 1787 - aft. 1851)
            • ?
              • Agnes3 Dudgeon (cir. 1815 - aft. 1871)
            • Mary Edingtone (Apr 1788 - )
              • William3 Dudgeon (Mar 1818 - Apr 1875)
                • Rosanna E. Golding (cir. 1816 - bet. Sep 1851 - Dec 1851)
                  • Mary J. S.4 Dudgeon (May 1848 - aft. 1891)
                    • James T. Donald (cir. 1845 - aft. 1891)
      • John1 Runciman (Jun 1762 - Dec 1852)
        • Jeanie Barrie (Feb 1767 - 1847)
          • William2 Runciman (Mar 1789 - 1873)
            • Jane Cockburn (1785 - 1854)
              • John3 Runciman (Apr 1811 - Jul 1883)
                • Elizabeth Lander (say 1811 - aft. 1844)
                  • William E.4 Runciman (Feb 1844 - Mar 1910)
                    • Susan P. Williams (cir. 1850 - Jun 1908)
                      • Jane E.5 Runciman (Jun 1873 - Nov 1950)
                      • Robert J.5 Runciman (Jan 1890 - Dec 1960)
                        • Evelyn G. Murie (Mar 1891 - Jul 1977)
                          • John N.6 Runciman
                • Elizabeth Wallis (1835 - 1925)
                  • John W.4 Runciman (cir. 1853 - Dec 1932)
                    • Harriet A. Morgan (cir. 1865 - Mar 1937)
                      • William T.5 Runciman (Apr 1901 - )
                  • Thomas4 Runciman (cir. 1856 - Mar 1941)
                  • Richard4 Runciman (cir. 1874 - 1967)
                    • Florence M. Robertson (cir. 1878 - 1969)
                      • Ruby J.5 Runciman
                  • Euphemia4 Runciman (Dec 1878 - )
              • James3 Runciman (Apr 1815 - Apr 1891)
                • Jane Thomson (cir. 1818 - Mar 1867)
                  • Thomas4 Runciman (1844 - Mar 1930)
                    • Mary A. Sheldon (bet. Sep 1850 - Dec 1850 - Jul 1886)
                      • Thomas5 Runciman (Jun 1874 - May 1917)
                      • Benjamin5 Runciman (Oct 1875 - Nov 1958)
                        • Isabel Crowley? (cir. 1887 - aft. 1924)
                          • Charles6 Runciman (Jul 1917 - aft. 1976)
                            • Veronica UnknownSurname (cir. 1921 - aft. 1976)
                              • William B.7 Runciman
                              • Jim7 Runciman (R-7)
                      • Jane5 Runciman (bet. Sep 1877 - Dec 1877 - aft. 1911)
                        • Charles J. Graven (cir. 1881 - )
                      • Mary5 Runciman (cir. 1880 - aft. 1881)
                      • James G.5 Runciman (bet. Sep 1881 - Dec 1881 - Jan 1964)
                        • Edith M. White (cir. 1887 - bet. Jan 1966 - Mar 1966)
                          • Edith M. C.6 Runciman (bet. Sep 1908 - Dec 1908 - May 1909)
                          • James P. G.6 Runciman (Feb 1910 - bet. Sep 1972 - Dec 1972)
                          • Benjamin T.6 Runciman (bet. Sep 1915 - Dec 1915 - bet. Mar 1963 - Jun 1963)
                            • Ursula M. Pearson
                              • Benjamin G.7 Runciman
                                • Jennifer J. Atley
                      • Roger S.5 Runciman (Jun 1886 - 1974)
                        • Elizabeth P. Howlett (bet. Sep 1882 - Dec 1882 - bet. Jan 1969 - Mar 1969)
                          • Ben6 Runciman (Aug 1914 - Feb 1997)
                            • Evelyn J. Tilley
                              • Ann S.7 Runciman
                              • Christopher J.7 Runciman
                              • Stuart E.7 Runciman
                          • Roger S.6 Runciman (bet. Jun 1916 - Sep 1916 - Feb 2005)
                          • Thomas6 Runciman
                          • Owen6 Runciman (Jan 1921 - Nov 2004)
                            • Beryl M. Chambers
                              • William O.7 Runciman
                                • Mary J. Deacon
                              • Angus J.7 Runciman
                    • Louisa Sheldon (bet. Mar 1853 - Jun 1853 - bet. Jan 1915 - Mar 1915)
                      • Louisa5 Runciman (cir. 1887 - )
                      • Charles E. S.5 Runciman (bet. Mar 1890 - Jun 1890 - aft. 1911)
                      • William5 Runciman (1895 - 1939)
              • Charles3 Runciman (Sep 1818 - Jan 1900)
                • Janet Preacher (Jun 1827 - Nov 1904)
                  • Agnes P.4 Runciman (Dec 1852 - Nov 1927)
                    • Andrew Carstairs (cir. 1854 - aft. 1891)
                  • William4 Runciman (Apr 1858 - say 1930)
                    • Agnes R. Martin (cir. 1867 - 1952)
                      • Janet W.5 Runciman (Nov 1893 - May 1966)
                        • Robert McMillan (say 1890 - say 1950)
                        • James Cullen (say 1893 - )
                      • Charles5 Runciman (Feb 1896 - Oct 1959)
                        • Lilian E. Kelly (cir. 1896 - 1974)
                          • Lillian E.6 Runciman
                          • William W.6 Runciman
                            • Dorothy UnknownSurname
                              • Carole7 Runciman
                              • Dorothy A.7 Runciman
                              • Pamela7 Runciman
                  • Thomas4 Runciman (Apr 1861 - Oct 1936)
                    • Emma J. Stansfield (cir. 1857 - Jun 1922)
                      • William S.5 Runciman (bet. Jun 1882 - Sep 1882 - Jul 1946)
                        • Mary F. Simpson
                      • Charles P.5 Runciman (bet. Mar 1883 - Jun 1883 - bet. Jan 1884 - Mar 1884)
                      • Herbert H.5 Runciman (bet. Jun 1884 - Sep 1884 - 1951)
                        • Jeanie H. Blackwood (cir. 1881 - 1972)
                          • Charles B.6 Runciman (Aug 1912 - 2006)
                      • Elizabeth I. J.5 Runciman (bet. Jan 1896 - Mar 1896 - bet. Jun 1908 - Sep 1908)
                  • Charles4 Runciman (Nov 1864 - Apr 1926)
                    • Alexandrina Simpson (cir. 1875 - 1963)
              • William3 Runciman (Aug 1821 - Nov 1895)
                • Jane France (Nov 1824 - Jun 1900)
                  • William4 Runciman (Sep 1846 - Aug 1898)
                    • Isabella Grieve (cir. 1852 - May 1929)
                  • Richard4 Runciman (May 1848 - Oct 1927)
                    • Kate Ray (May 1846 - Aug 1923)
                      • Ray R.5 Runciman (Jan 1878 - Dec 1956)
                        • Viola M. Renaud (cir. 1887 - )
                        • Jennie J. Castner (Mar 1884 - Dec 1965)
                  • John F.4 Runciman (Feb 1852 - Sep 1878)
                    • Alida J. Lapp (cir. 1855 - May 1886)
                      • John F.5 Runciman (Dec 1878 - aft. 1916)
                        • Elizabeth Bell (cir. 1877 - aft. 1916)
                  • Thomas4 Runciman (Apr 1854 - Sep 1928)
                    • Jennie C. McBride (cir. 1865 - )
                      • Marjory E. F.5 Runciman (Mar 1894 - )
                        • Percival S. Warren (cir. 1890 - )
                      • Gordon K.5 Runciman (Oct 1896 - Jan 1962)
                        • Ada F. V. Williams (cir. 1899 - aft. 1945)
                          • Gordon T.6 Runciman (Oct 1933 - Mar 2007)
                  • James4 Runciman (1856 - aft. 1900)
                  • Elizabeth4 Runciman (cir. 1858 - )
                    • George H. Lapp (cir. 1847 - )
                    • William H. Mann (Sep 1858 - 1941)
                  • Margaret V.4 Runciman (Jun 1861 - Jul 1899)
                    • George Mann (Jun 1863 - aft. 1911)
                  • Robert E.4 Runciman (May 1865 - Jan 1934)
                    • Minnie M. Doxee (cir. 1867 - Dec 1909)
                      • Neil D.5 Runciman (Jun 1900 - )
                        • Muriel B. Mulholland (Jun 1902 - Jun 1973)
                    • Hilda T. Green (Jun 1878 - aft. 1922)
              • Richard3 Runciman (Dec 1822 - bet. 1871 - 1881)
                • Margaret McKay (cir. 1823 - aft. 1891)
                  • Margaret4 Runciman (cir. 1848 - aft. 1871)
                  • William4 Runciman (Apr 1850 - aft. 1891)
                  • Jane4 Runciman (Dec 1851 - aft. 1901)
                    • Joseph N. Wright (cir. 1857 - aft. 1901)
                  • Richard4 Runciman (cir. May 1854 - aft. 1871)
                  • Isabella4 Runciman (cir. Jan 1858 - aft. 1901)
          • James2 Runciman (cir. 1790 - Nov 1860)
            • Margaret Eddington (bet. 1786 - 1791 - bet. 1841 - 1847)
              • John3 Runciman (cir. Apr 1814 - Sep 1854)
                • Margaret Bathgate (Jun 1811 - 1883)
                  • Elizabeth B.4 Runcimen (cir. 1847 - 1913)
                    • Robert Adamson (cir. 1847 - )
                  • Margaret4 Runciman (cir. 1850 - aft. 1901)
                    • John McLaren (cir. 1852 - aft. 1901)
                  • Cassandra R.4 Runciman (cir. 1852 - 1888)
                    • Hugh Fleming (cir. 1850 - aft. 1881)
            • Anne Whitecross (cir. 1792 - aft. 1851)
          • Charles2 Runciman (Oct 1794 - Aug 1852)
            • Isabella D. White (cir. 1799 - 1884)
              • Jean3 Runciman (cir. Apr 1824 - Apr 1885)
                • George Smith (cir. 1824 - aft. 1891)
              • Margaret B.3 Runciman (cir. May 1826 - Oct 1872)
                • John R. Whitecross (Apr 1826 - Dec 1898)
                  • Elizabeth R.4 Whitecross (cir. 1857 - aft. 1881)
              • Isabella3 Runciman (cir. 1828 - cir. 1846)
              • Charles3 Runciman (Jan 1832 - Jun 1903)
                • Margaret McLaren (cir. 1836 - 1895)
                  • Charles4 Runciman (Oct 1862 - Apr 1898)
                    • Mary Bryce (cir. 1864 - bet. 1892 - 1898)
                  • Helen4 Runciman (Jul 1864 - 1931)
                  • Margaret4 Runciman (May 1868 - 1944)
                    • William J. Johnstone (cir. 1864 - )
                  • Thomas4 Runciman (cir. Dec 1870 - Jan 1935)
              • John3 Runciman (Feb 1838 - Nov 1860)
              • David3 Runciman (Sep 1840 - bet. Jan 1893 - Mar 1893)
                • Harriet J. Morton (bet. Sep 1842 - Dec 1842 - bet. Jan 1889 - Mar 1889)
                • Temperance Sennett (cir. 1842 - aft. 1911)
          • John2 Runciman (Jun 1796 - Jun 1859)
            • Isabella Comb (1807 - 1847)
              • John3 Runciman (Apr 1826 - Dec 1867)
                • Isabella Pryce (cir. 1822 - 1895)
                  • John4 Runciman (cir. Mar 1850 - May 1856)
                  • William M.4 Runciman (Oct 1852 - 1862)
                  • Alexander M.4 Runciman (Jan 1854 - Dec 1903)
                    • Christina M. Crawford (Jul 1855 - bet. Sep 1931 - Dec 1931)
                      • John5 Runciman (1884 - )
                      • Christina M.5 Runciman (May 1886 - bet. Jan 1971 - Mar 1971)
                      • William M. C.5 Runciman (cir. Jan 1891 - bet. Jan 1961 - Mar 1961)
                        • Edith M. Chadwick (Feb 1895 - bet. Sep 1972 - Dec 1972)
                          • Edith J. C.6 Runciman (Oct 1922 - Dec 1987)
                            • Graeme C. Barker
                              • Anthony C.7 Barker
                                • Sue (?)
                  • Ann J.4 Runciman (Nov 1859 - 1940)
                    • Thomas A. Jones (cir. 1861 - )
              • Janet3 Runciman (Jan 1828 - Mar 1894)
                • Robert Cooper (Nov 1820 - aft. 1861)
              • Matthew3 Runciman (Oct 1829 - Jul 1892)
                • Mary Scott (Jun 1829 - Jan 1892)
                  • John4 Runciman (Aug 1859 - Jan 1920)
                    • Frances S. Chanter (1864 - 1947)
                      • Charles M.5 Runciman (Jun 1884 - Jul 1951)
                        • Elizabeth E. Alcorn (1886 - 1957)
                          • Charles6 Runciman (1916 - 1995)
                            • Nora Clancy
                              • Garry . N.7 Runciman
                          • David K.6 Runciman (Dec 1926 - Dec 2000)
                            • Elaine Hutchison
                              • John7 Runciman
                                • Elizabeth Flinn
                                  • James D.8 Runciman
                      • Mary M.5 Runciman (1887 - aft. 1958)
                      • Frances S.5 Runciman (1889 - aft. 1954)
                        • Amos R. Dickins (May 1881 - aft. 1954)
                      • John J.5 Runciman (1891 - 1948)
                        • Helena M. Wheeler (1888 - 1961)
                          • Doris6 Runciman
                            • ?
                              • Jen7 Jelley
                          • Vera G.6 Runciman (1922 - 2006)
                            • ?
                              • Lawrence7 Fletcher
                          • John W.6 Runciman (Oct 1923 - Sep 2013)
                            • Vi Green
                              • Jillian7 Runciman
                              • Gail7 Nicholls-Runciman
                      • Olive I.5 Runciman (1893 - )
                        • Charles W. Peebles (say 1890 - )
                  • David4 Runciman (1861 - 1942)
                    • Agnes S. Ick (1862 - 1939)
                      • Willie5 Runciman (1893 - 1959)
                        • Jean Metzke (Sep 1913 - May 1991)
                          • Kevin6 Runciman (R-8)
                            • Ros Runciman
                  • James4 Runciman (cir. 1872 - Mar 1941)
              • Jane3 Runciman (May 1831 - Mar 1909)
                • Archibald Watt (cir. 1830 - bet. 1881 - 1909)
              • William3 Runciman (Feb 1833 - aft. 1851)
              • Margaret3 Runciman (Dec 1834 - 1906)
                • George Thomson (cir. 1830 - )
              • Charles3 Runciman (Nov 1836 - Mar 1861)
              • Isabella3 Runciman (Oct 1838 - cir. Jun 1909)
              • Alexander3 Runciman (Oct 1840 - Mar 1918)
                • Helen Hogg (cir. 1844 - 1927)
                  • Jemima H.4 Runciman (Jun 1867 - 1933)
                  • Isabella C.4 Runciman (Nov 1869 - 1870)
                  • John H.4 Runciman (Dec 1872 - 1873)
                  • John H.4 Runciman (1876 - Jun 1924)
                  • Alexander4 Runciman (1878 - Aug 1915)
                    • Margaret Blair (cir. 1883 - 1963)
                  • Isa M. C.4 Runciman (cir. Jun 1880 - Feb 1969)
              • Eliza Y.3 Runciman (Apr 1845 - 1924)
                • Hugh Keith (cir. 1847 - )
          • Elizabeth2 Runciman (Dec 1798 - )
          • Richard2 Runciman (Jan 1800 - Sep 1881)
            • Barbara Merrilees (Jan 1800 - Aug 1850)
              • James3 Runciman (Apr 1827 - Sep 1896)
                • Mary Binnie (cir. 1829 - Jun 1908)
                  • Richard J. B.4 Runciman (1861 - Apr 1938)
                    • Margaret Meek (cir. 1864 - 1922)
                  • Robert J. M.4 Runciman (1864 - 1939)
                    • Agnes D. Sutherland (1871 - 1929)
              • Jane3 Runciman (Aug 1829 - Jul 1920)
                • Henry Doig (1824 - Mar 1869)
                  • Isabella R.4 Doig (1857 - 1939)
                    • Henry Wilson (say 1855 - )
                      • Isabella C.5 Wilson (1885 - 1966)
                        • George E. Tubman (1881 - 1955)
                          • Gladys M.6 Tubman (1908 - )
                          • George H.6 Tubman (1910 - )
              • Barbara3 Runciman (Jan 1832 - 1871)
                • Thomas Howarth (say 1830 - )
              • Isabella3 Runciman (cir. 1834 - Mar 1917)
                • John Campbell (cir. 1840 - May 1915)
              • John3 Runciman (Oct 1837 - Jul 1918)
                • Elizabeth Mitchell (Apr 1841 - May 1882)
                  • Richard C.4 Runciman (Jan 1864 - Mar 1947)
                    • Agnes Bowden (cir. 1854 - Sep 1940)
                  • John J.4 Runciman (Sep 1865 - Oct 1874)
                  • Emily J.4 Runciman (1868 - 1878)
                  • George M.4 Runciman (Nov 1870 - Mar 1942)
                    • Lucy Ellis (Dec 1870 - Sep 1952)
                  • James M.4 Runciman (1872 - 1936)
                    • Isabella Henderson (cir. 1875 - 1944)
                  • Alexander4 Runciman (cir. 1875 - 1957)
                    • Annie Clifford (cir. 1877 - 1952)
                • Elizabeth Carson (cir. 1848 - 1930)
                  • Archibald J. . C.4 Runciman (1885 - Nov 1949)
                    • Doris M. McLean (1884 - 1951)
          • Alexander2 Runciman (Apr 1803 - Sep 1875)
            • Jane Thomson (cir. 1807 - 1879)
              • Alexander3 Runciman (cir. 1832 - 1907)
                • Isabella McLure (cir. 1838 - 1869)
                  • Jemima4 Runciman (Apr 1862 - 1942)
                • Jane F. Fairservice (cir. 1841 - 1929)
              • Jeanie B.3 Runciman (cir. 1835 - )
                • John Johnston (cir. 1829 - )
                  • George H.4 Johnston (Aug 1873 - )
              • James3 Runciman (cir. 1841 - 1905)
                • Mary Thomson (Jun 1851 - 1931)
                  • Alexander4 Runciman (Jun 1872 - 1883)
                  • Anne4 Runciman (Dec 1873 - Aug 1932)
                    • John Kerr (Dec 1873 - 1939)
                      • James R.5 Kerr (Feb 1905 - Aug 1990)
                        • ?
                          • Gordon6 Kerr
                  • James T.4 Runciman (Sep 1875 - May 1961)
                    • Annie M. M. Campbell (cir. 1879 - aft. 1930)
                      • Margrate5 Runciman (cir. 1910 - aft. 1920)
                  • William4 Runciman (May 1877 - 1943)
                    • Janet McNaught (cir. 1879 - 1954)
                      • James5 Runciman (1907 - Feb 1994)
                        • Mhairi Chisholm (say 1910 - )
                          • William C.6 Runciman
                            • Eileen Halliday
                          • Phyllis J.6 Runciman
                  • Jeanie4 Runciman (cir. 1880 - aft. 1901)
                  • Charles J. T.4 Runciman (1882 - 1969)
                    • Elizabeth Armstrong (1886 - 1966)
                      • Arthur A.5 Runciman (Oct 1919 - Feb 1968)
                        • Catherine Kirkland (1923 - Jan 2012)
                          • Norman6 Runciman
                          • Alan6 Runciman
                            • ?
                              • Stuart7 Runciman
                                • Robin (Runciman)
                                  • Robin8 Runciman
                  • Daniel T.4 Runciman (1886 - 1950)
                    • Catherine J. Smith (cir. 1884 - 1945)
                      • Louis A.5 Runciman (Sep 1913 - 1971)
                  • Mary T.4 Runciman (cir. Oct 1890 - 1961)
              • Charles3 Runciman (cir. 1843 - 1918)
                • Helen Maitland (cir. 1845 - 1874)
                  • Alexander4 Runciman (May 1871 - 1913)
                  • Helen C.4 Runciman (Jul 1872 - 1957)
                  • Caroline4 Runciman (Jan 1874 - 1874)
                • Jeanie Watson (cir. 1855 - 1941)
                  • James W.4 Runciman (Aug 1878 - bet. Mar 1970 - Jun 1970)
                    • Helen McGlashan (Apr 1877 - bet. Jan 1972 - Mar 1972)
                  • Charles4 Runciman (1881 - 1946)
                    • Jessie Finlay (say 1881 - )
                      • Mary E.5 Runciman
                        • Thomas C. Imrie (say 1914 - bet. 1950 - 1992)
                      • Dorothy F.5 Runciman (1923 - 1935)
                  • Louis T.4 Runciman (1887 - 1966)
                  • William W.4 Runciman (1889 - Nov 1918)
                  • Herbert4 Runciman (1892 - 1978)
                    • Mairi A. N. Morrison (1903 - )
                      • Herbert5 Runciman
                  • Henry I.4 Runciman (1895 - Feb 1919)
                  • John G.4 Runciman (Dec 1895 - Jun 1979)
                    • Betty Spinks (say 1895 - )
                    • Elaine D. Popplewell (Feb 1907 - bet. Jan 1999 - Mar 1999)
              • Louis T.3 Runciman (cir. 1846 - aft. 1910)
                • Jane M. Findlay (cir. 1850 - 1933)
                  • Annie L. M.4 Runciman (Mar 1879 - 1946)
          • Katherine2 Runciman (Jun 1804 - )
          • Isabel2 Runciman (Apr 1806 - )
    • Patricia Stephen (say 1725 - )
      • Mary1 Runsyman (Dec 1764 - )
        • Andrew Black (say 1760 - )
          • Andrew2 Black (Jan 1799 - )
DNA Tested line