A possibility. I have an Andrew Jackson (or maybe Jason) Poss born in Oglethorpe County on 1823. He married Martha Ann Martin in Oglethorpe County on March 27, 1841 and, according to the 1860 Census, had the following 4 children: James W. Poss born 1854, Jane Poss born 1855, Franklin A. Poss born 1857 and Thomas L. Poss born 1860.
I have no further information on his family, but it is a possibility you can follow-up on. He was the son of Andrew Poss and Frances Tiller, grandson of Nicholas Poss and Fanny Wolfe.
I also show him having siblings Uriah Poss (moved to Clarke County, GA), Elizabeth Poss (married Joseph Smith), Elijah Poss (moved to Arkansas), Martha Poss (married Daniel Harris), Doctor Newton Poss (married Jane Stephens and moved to Arkansas) and William T. Poss. I believe there are some threads on this forum about his brother Doctor Newton Poss.