AA 4343 then AA 1067 at JFK
Nashville → New York → Chicago O'Hare
Timetable, New York time
21:00AA 4343 from Nashville at the gate
20:24AA 1067 to Chicago O'Hare leaves the gate
23 h 24 apart on the timetable, overnight
AA 1067 leaves 23 h 24 after AA 4343 arrives on the timetable: more than half a day, so not a connection we count.