AA 2809 then AA 1738 at Philadelphia
Nashville → Philadelphia → Providenciales
Timetable, Philadelphia time
09:12AA 2809 from Nashville at the gate
08:50AA 1738 to Providenciales leaves the gate
23 h 38 apart on the timetable, overnight
AA 1738 leaves 23 h 38 after AA 2809 arrives on the timetable: more than half a day, so not a connection we count.