AA 5579 then AA 4040 at DFW
Little Rock → Dallas-Fort Worth → Brownsville
Timetable, Dallas-Fort Worth time
13:31AA 5579 from Little Rock at the gate
13:27AA 4040 to Brownsville leaves the gate
23 h 56 apart on the timetable, overnight
AA 4040 leaves 23 h 56 after AA 5579 arrives on the timetable: more than half a day, so not a connection we count.