AA 3144 then QR 8188 at Houston
Chicago → Houston → Liege
Timetable, Houston time
23:57AA 3144 from Chicago at the gate
21:20QR 8188 to Liege leaves the gate
21 h 23 apart on the timetable, overnight
QR 8188 leaves 21 h 23 after AA 3144 arrives on the timetable: more than half a day, so not a connection we count.