DL 5032 then AA 4378 at JFK
Savannah → New York → Raleigh-Durham
Timetable, New York time
09:37DL 5032 from Savannah at the gate
09:30AA 4378 to Raleigh-Durham leaves the gate
23 h 53 apart on the timetable, overnight
AA 4378 leaves 23 h 53 after DL 5032 arrives on the timetable: more than half a day, so not a connection we count.