AA 4669 then UA 3914 at O'Hare
Madison → Chicago → Houston
Timetable, Chicago time
08:00AA 4669 from Madison at the gate
20:30UA 3914 to Houston leaves the gate
12 h 30 apart on the timetable
UA 3914 leaves 12 h 30 after AA 4669 arrives on the timetable: more than half a day, so not a connection we count.