For the record, AMG - All Music Guide lists 5 recordings called EMIGRANT EYES; they are performed by Geraldine Doyle, Dolores Keane, Rita McNeil, Sheila Noonan, and Frank Patterson.

It also lists 5 recordings called IMMIGRANT EYES; 2 are performed by Guy Clark and the others are by Steve Earle, Tim Flannery, and Amy Gallatin.

I think they are all the same song. I'm not familiar with all the performers, but I'd guess the ones who use EMIGRANT are Irish and the ones who use IMMIGRANT are American. It figures.

There is also one called EYES OF THE IMMIGRANT, written and performed by Eric Andersen.