AA 5634 then AA 5078 at Charlotte
Louisville → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
14:36AA 5634 from Louisville at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
21 h 49 apart on the timetable, overnight
AA 5078 leaves 21 h 49 after AA 5634 arrives on the timetable: more than half a day, so not a connection we count.