1850 Barbour Co. AL
Mary Adams, b. NC, 56
Thomas, b. GA, 24
His mother's name was Mary.
I'd look in the probate records for a male Adams who died before 1850. Then look in his will/probate records for a son named Thomas.
I'd contact the Barbour County Genealogy Group
C/O Eufaula Carnegie Library
217 North Eufaula Avenue
and ask them if they have access to probate records or if they know who does besides the Barbour County Clerk of Probate Court. I think they will require an exact date to do a search.
You might be able to find them on microfilm and then your local, public library can request it via inter-library transfer. Successful Searching!