FR 4500 then FR 670 at Dublin
Cologne → Dublin → Birmingham (UK)
Timetable, Dublin time
11:00FR 4500 from Cologne at the gate
06:30FR 670 to Birmingham (UK) leaves the gate
19 h 30 apart on the timetable, overnight
FR 670 leaves 19 h 30 after FR 4500 arrives on the timetable: more than half a day, so not a connection we count.