AA 4669 then KJ 248 at O'Hare
Madison → Chicago → Atlanta
Timetable, Chicago time
08:00AA 4669 from Madison at the gate
05:10KJ 248 to Atlanta leaves the gate
21 h 10 apart on the timetable, overnight
KJ 248 leaves 21 h 10 after AA 4669 arrives on the timetable: more than half a day, so not a connection we count.