AA 4460 then UA 3376 at O'Hare
Madison → Chicago → St Louis
Timetable, Chicago time
11:10AA 4460 from Madison at the gate
11:00UA 3376 to St Louis leaves the gate
23 h 50 apart on the timetable, overnight
UA 3376 leaves 23 h 50 after AA 4460 arrives on the timetable: more than half a day, so not a connection we count.