AA 558 then AA 6039 at Charlotte
Indianapolis → Charlotte → Roanoke
Timetable, Charlotte time
17:09AA 558 from Indianapolis at the gate
16:20AA 6039 to Roanoke leaves the gate
23 h 11 apart on the timetable, overnight
AA 6039 leaves 23 h 11 after AA 558 arrives on the timetable: more than half a day, so not a connection we count.