The track is called simply "Irish Eyes". It's on the album The Best of The Fureys & Davy Arthur (not the one subtitled Celtic Dreams, the one where they are sitting in the lounge room). It's track 18. It starts off (I think) Girl of Mine, Girl of Mine you've got Irish Eyes, Irish Eyes...

I can't make out any more.

Hope this helps someone out there.
Thanks
Hoges in WA