DL 2599 then DL 1508 at Atlanta
Madison → Atlanta → San Antonio
Timetable, Atlanta time
22:59DL 2599 from Madison at the gate
21:55DL 1508 to San Antonio leaves the gate
22 h 56 apart on the timetable, overnight
DL 1508 leaves 22 h 56 after DL 2599 arrives on the timetable: more than half a day, so not a connection we count.