I can't thank you enough for your suggestion. The records you referred me to did not help with the children of James Albritton, Jr. who died in the 1790s, but they did help with the children of Enoch Albritton (1771-1834). They helped to show that Jesse Albritton born about 1806 who was in Catahoula Parish LA was NOT Enoch's son. In fact, Jesse Albritton was the son of James Jackson Albritton who died in East Felciana Parish LA in 1833.
Thanks so much for your suggestion. It was a huge help!!