Regardless of the time of day you decide to fly, the ticket price will remain around the same. Book flights from Wellington to Limerick as you normally would.
Wellington (WLG) is the airport you will fly out of if you book a flight from Wellington to Limerick. You should not have trouble finding flights to Limerick from Wellington; the airport handles an average of 0 outbound flights to Limerick per day. You should also have plenty of airline options to choose from since 0 airlines have flights from the Wellington airport to Limerick. It is only a 5.3 km journey to Wellington (WLG) from Wellington’s city centre.