AA 5564 then AA 2189 at Charlotte
Harrisburg → Charlotte → Madison
Timetable, Charlotte time
18:46AA 5564 from Harrisburg at the gate
16:40AA 2189 to Madison leaves the gate
21 h 54 apart on the timetable, overnight
AA 2189 leaves 21 h 54 after AA 5564 arrives on the timetable: more than half a day, so not a connection we count.