I've already said that the song Skarpi is looking for is NOT a variant of Rolling Home to Dear Old England. Of course the "Irish Rovers" may have recorded one of those as well for all I know, but their Rolling Home to Ireland is a completely different song. I don't make such comments idly, but mainly to avoid people wasting their time and everybody else's by making helpful suggestions which have nothing at all to do with the question asked.

You can hear audio of the "Irish Rovers" song at  Harry S. Anchan's Favourite Scottish and Irish Songs

It is easily found via Google. I can't say that I much care for it, but I'm sure that it goes down very well with the "singalong" kind of audience.