AA 3827 then UA 3876 at O'Hare
Rochester (ROC) → Chicago → Miami
Timetable, Chicago time
06:19AA 3827 from Rochester (ROC) at the gate
21:00UA 3876 to Miami leaves the gate
14 h 41 apart on the timetable
UA 3876 leaves 14 h 41 after AA 3827 arrives on the timetable: more than half a day, so not a connection we count.