UA 3874 then AA 3771 at O'Hare
Chicago Rockford → Chicago → Providence
Timetable, Chicago time
01:21UA 3874 from Chicago Rockford at the gate
15:08AA 3771 to Providence leaves the gate
13 h 47 apart on the timetable
AA 3771 leaves 13 h 47 after UA 3874 arrives on the timetable: more than half a day, so not a connection we count.