AA 4781 then DL 962 at JFK
Washington National → New York → Atlanta
Timetable, New York time
19:00AA 4781 from Washington National at the gate
18:59DL 962 to Atlanta leaves the gate
23 h 59 apart on the timetable, overnight
DL 962 leaves 23 h 59 after AA 4781 arrives on the timetable: more than half a day, so not a connection we count.