AA 2688 then AA 5078 at Charlotte
Raleigh-Durham → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
14:00AA 2688 from Raleigh-Durham at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
22 h 25 apart on the timetable, overnight
AA 5078 leaves 22 h 25 after AA 2688 arrives on the timetable: more than half a day, so not a connection we count.