DL 2599 then DL 3244 at Atlanta
Madison → Atlanta → Raleigh-Durham
Timetable, Atlanta time
22:59DL 2599 from Madison at the gate
20:45DL 3244 to Raleigh-Durham leaves the gate
21 h 46 apart on the timetable, overnight
DL 3244 leaves 21 h 46 after DL 2599 arrives on the timetable: more than half a day, so not a connection we count.