I am replying to this very old message in case it helps anyone.....
Per the Coffee County Sep 1838 Term court minutes, Thomas L. Carroll was an orphan at the age of 5 on 07 Mar 1838.
If he had been in Coffee County TN this early, he almost certainly would have been a descendant of Timothy Henry Carroll.
I think (but cannot prove) that one of the unknown sons of Timothy Henry Carroll was named Thomas and that Thomas L. Carroll bc 1833 may have been the son of this Thomas.
If you have atDNA results at ancestry, you may be in the Timothy Henry Carroll DNA circle.
Timothy Henry Carroll was my 4x ggf.