Another name I've heard for Gallagher's is "The Bashful Bachelor". I think "The Goat in the Green" is actually a different tune. (Although the beginnings are almost identical...but the B parts are different.) "The Goat in the Green" is on Paddy Canny's album and I think Martin Hayes has recorded "Gallagher's." (I'll go check that last fact and if it's not right, I'll post a correction here....if someone else doesn't beat me to it!)