AA 5586 then AA 6100 at Charlotte
Sarasota → Charlotte → Moline
Timetable, Charlotte time
15:17AA 5586 from Sarasota at the gate
14:23AA 6100 to Moline leaves the gate
23 h 06 apart on the timetable, overnight
AA 6100 leaves 23 h 06 after AA 5586 arrives on the timetable: more than half a day, so not a connection we count.