AA 9781 then WN 3342 at Philadelphia
New York LaGuardia → Philadelphia → St Louis
Timetable, Philadelphia time
06:00AA 9781 from New York LaGuardia at the gate
19:40WN 3342 to St Louis leaves the gate
13 h 40 apart on the timetable
WN 3342 leaves 13 h 40 after AA 9781 arrives on the timetable: more than half a day, so not a connection we count.