AA 4669 then UA 1394 at O'Hare
Madison → Chicago → San Antonio
Timetable, Chicago time
08:00AA 4669 from Madison at the gate
20:30UA 1394 to San Antonio leaves the gate
12 h 30 apart on the timetable
UA 1394 leaves 12 h 30 after AA 4669 arrives on the timetable: more than half a day, so not a connection we count.