DL 2599 then LA 2483 at Atlanta
Madison → Atlanta → Lima
Timetable, Atlanta time
22:59DL 2599 from Madison at the gate
22:15LA 2483 to Lima leaves the gate
23 h 16 apart on the timetable, overnight
LA 2483 leaves 23 h 16 after DL 2599 arrives on the timetable: more than half a day, so not a connection we count.