AA 5796 then DL 624 at Charlotte
Lynchburg → Charlotte → New York JFK
Timetable, Charlotte time
09:15AA 5796 from Lynchburg at the gate
22:30DL 624 to New York JFK leaves the gate
13 h 15 apart on the timetable
DL 624 leaves 13 h 15 after AA 5796 arrives on the timetable: more than half a day, so not a connection we count.