UA 4564 then DL 2709 at Houston
Lafayette → Houston → Atlanta
Timetable, Houston time
13:29UA 4564 from Lafayette at the gate
08:05DL 2709 to Atlanta leaves the gate
18 h 36 apart on the timetable, overnight
DL 2709 leaves 18 h 36 after UA 4564 arrives on the timetable: more than half a day, so not a connection we count.