AA 1036 then AA 5583 at Charlotte
New York LaGuardia → Charlotte → Little Rock
Timetable, Charlotte time
08:00AA 1036 from New York LaGuardia at the gate
07:14AA 5583 to Little Rock leaves the gate
23 h 14 apart on the timetable, overnight
AA 5583 leaves 23 h 14 after AA 1036 arrives on the timetable: more than half a day, so not a connection we count.