AA 3987 then AA 5078 at Charlotte
Springfield → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
15:38AA 3987 from Springfield at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
20 h 47 apart on the timetable, overnight
AA 5078 leaves 20 h 47 after AA 3987 arrives on the timetable: more than half a day, so not a connection we count.