DL 1292 then DL 681 at Atlanta
Wilmington (ILM) → Atlanta → San Francisco
Timetable, Atlanta time
19:22DL 1292 from Wilmington (ILM) at the gate
19:19DL 681 to San Francisco leaves the gate
23 h 57 apart on the timetable, overnight
DL 681 leaves 23 h 57 after DL 1292 arrives on the timetable: more than half a day, so not a connection we count.