found the following; I don't know if it will be of any use, but as least it places an Adams in the South:
Elisha6(Elihu5,John4,Joseph3-2,Henry1)Adams born about 1772, bpt. 6 Dec 1772 at S. Parish. died 29 Sept 1829 age 57, suicide, at Abington MA; mar. 31 Jan 1796 at Abington, Sarah Norton of S. Abington, now Whitman, b 7 Dec 1777 at Abington, died ?, dau. of John and Sarah (Whitmarsh) Norton;
children of Elisha and Sarah, born at Abington MA: child of Elisha, d 21 June 1798, age 1, Abington John Quincy 23 June 1802, mar. (1) ? Davis, a printer in New Orleans d. there about 1849; mar. (2) Esther ?