AA 5074 then AA 1738 at Philadelphia
Omaha → Philadelphia → Providenciales
Timetable, Philadelphia time
09:56AA 5074 from Omaha at the gate
08:50AA 1738 to Providenciales leaves the gate
22 h 54 apart on the timetable, overnight
AA 1738 leaves 22 h 54 after AA 5074 arrives on the timetable: more than half a day, so not a connection we count.