AA 3865 then AA 5604 at Charlotte
Hilton Head → Charlotte → Springfield
Timetable, Charlotte time
13:44AA 3865 from Hilton Head at the gate
12:55AA 5604 to Springfield leaves the gate
23 h 11 apart on the timetable, overnight
AA 5604 leaves 23 h 11 after AA 3865 arrives on the timetable: more than half a day, so not a connection we count.