AA 9976 then AA 1597 at Philadelphia
Salisbury → Philadelphia → Charleston (South Carolina)
Timetable, Philadelphia time
08:55AA 9976 from Salisbury at the gate
21:49AA 1597 to Charleston (South Carolina) leaves the gate
12 h 54 apart on the timetable
AA 1597 leaves 12 h 54 after AA 9976 arrives on the timetable: more than half a day, so not a connection we count.