AA 1953 then AA 2537 at Miami
St Louis → Miami → Memphis
Timetable, Miami time
20:52AA 1953 from St Louis at the gate
19:55AA 2537 to Memphis leaves the gate
23 h 03 apart on the timetable, overnight
AA 2537 leaves 23 h 03 after AA 1953 arrives on the timetable: more than half a day, so not a connection we count.