AA 1699 then AA 6062 at Charlotte
Providenciales → Charlotte → Moline
Timetable, Charlotte time
18:27AA 1699 from Providenciales at the gate
17:45AA 6062 to Moline leaves the gate
23 h 18 apart on the timetable, overnight
AA 6062 leaves 23 h 18 after AA 1699 arrives on the timetable: more than half a day, so not a connection we count.