AA 9977 then AA 1597 at Philadelphia
Cleveland → Philadelphia → Charleston (South Carolina)
Timetable, Philadelphia time
23:17AA 9977 from Cleveland at the gate
21:49AA 1597 to Charleston (South Carolina) leaves the gate
22 h 32 apart on the timetable, overnight
AA 1597 leaves 22 h 32 after AA 9977 arrives on the timetable: more than half a day, so not a connection we count.