F9 4409 then DL 1508 at Atlanta
Washington → Atlanta → San Antonio
Timetable, Atlanta time
23:13F9 4409 from Washington at the gate
22:54DL 1508 to San Antonio leaves the gate
23 h 41 apart on the timetable, overnight
DL 1508 leaves 23 h 41 after F9 4409 arrives on the timetable: more than half a day, so not a connection we count.