I can't help you go backwards because I am stuck the same place you are, but I think my husband may be your distant cousin.
He is descended from Janet daughter of John Falconer and Anna Coutts.She, her Husband James Bowie and her brother Alexander came to America in 1840.
James Bowie30 Aug 1812-11 May 1865 Petersburg, VA Janet Falconer 4 Jun 1815-15 Jul 1892 Petersburg William F Bowie 1845-25 Jan 1878 Richmond, VA Rosa Lee Clarke 17 Jul 1844 Richmond- 5 Sep 1914 Rich. Anne Jeanette Bowie 8 Aug 1867-31 Jan 1917Richmond John Robert Beadles 6 Mar 1862 King William Co, VA 17 Aug 1918 Richmond Hunter Wood Beadles14 Nov 1900 Richmond 16 October 1984 Richmond (my husband's grandfather)
Please let me know if you think there is a connection.