You are right about Elizabeth Connell being a second wife. I understand Thomas Folds' first wife to be Ritta Smith and they were married April 25, 1826 in Putnam Co., GA.
I am apparently a descendant of Thomas' brother David. Their father was John B. Folds who married Mary Wilkins September 26, 1792 in Columbia Co., GA. Since David married Nancy Carden in Jasper Co., I have been concentrating in this area as well as Heard & Meriwether Cos. There are 2 John Folds associated with Jasper Co., one winning lottery land in 1821, the other in 1827. A third John as well a George Folds who lived in Burke Co. won the lottery in 1827.
I'm pretty confident about David's relationship as a son of John B. Folds, but I'm currently working on corroborating the other children: Mary, Jamimah, George, William W. Thomas, John D., Edmond Jenkins, and Zelphora. This family seems to have made an appearance in these counties: Henry, Putnam, Butts, Bibb, & Dooly.
Your posting of info has helped me out. I hope I may have been a bit of help.