AA 3026 then AA 5078 at Charlotte
Madison → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
15:32AA 3026 from Madison at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
20 h 53 apart on the timetable, overnight
AA 5078 leaves 20 h 53 after AA 3026 arrives on the timetable: more than half a day, so not a connection we count.