AA 6059 then AA 611 at Charlotte
Moline → Charlotte → Providenciales
Timetable, Charlotte time
11:26AA 6059 from Moline at the gate
11:09AA 611 to Providenciales leaves the gate
23 h 43 apart on the timetable, overnight
AA 611 leaves 23 h 43 after AA 6059 arrives on the timetable: more than half a day, so not a connection we count.