It didn't fly like a bird, though. It seemed less graceful, more frenetic. I tried to strain and see if the wings looked like they were covered in feathers, or if they had that more transparent quality, but, well, it was after dusk and the thing wouldn't stay still!
I googled Georgia bats, and it seems that there are a lot of species that can be found here, so it's entirely possible. Little brown bats (Myotis lucifugus) are common, and according to the stats that I found, they're about the right size for the critters I saw.
So I may have seen a real, live bat. Another first! Did I mention that I saw my first real, live lightning bug here? And unintentionally killed one on my bathroom door? (Loved the glowy guts!)