AA 3865 then AA 5078 at Charlotte
Hilton Head → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
13:44AA 3865 from Hilton Head at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
22 h 41 apart on the timetable, overnight
AA 5078 leaves 22 h 41 after AA 3865 arrives on the timetable: more than half a day, so not a connection we count.