AA 301 then AA 5078 at Charlotte
Grand Cayman → Charlotte → Birmingham (Alabama)
Timetable, Charlotte time
15:10AA 301 from Grand Cayman at the gate
12:25AA 5078 to Birmingham (Alabama) leaves the gate
21 h 15 apart on the timetable, overnight
AA 5078 leaves 21 h 15 after AA 301 arrives on the timetable: more than half a day, so not a connection we count.