FR 4500 then EI 268 at Dublin
Cologne → Dublin → Birmingham (UK)
Timetable, Dublin time
00:15FR 4500 from Cologne at the gate
14:05EI 268 to Birmingham (UK) leaves the gate
13 h 50 apart on the timetable
EI 268 leaves 13 h 50 after FR 4500 arrives on the timetable: more than half a day, so not a connection we count.