DL 2599 then DL 5515 at Atlanta
Madison → Atlanta → Fayetteville
Timetable, Atlanta time
22:59DL 2599 from Madison at the gate
21:47DL 5515 to Fayetteville leaves the gate
22 h 48 apart on the timetable, overnight
DL 5515 leaves 22 h 48 after DL 2599 arrives on the timetable: more than half a day, so not a connection we count.