AA 1413 then UA 630 at O'Hare
New York LaGuardia → Chicago → Madison
Timetable, Chicago time
07:52AA 1413 from New York LaGuardia at the gate
19:59UA 630 to Madison leaves the gate
12 h 07 apart on the timetable
UA 630 leaves 12 h 07 after AA 1413 arrives on the timetable: more than half a day, so not a connection we count.