This song appears on a Belfast printed ballad sheet (Nicholson, 26 Church Lane) with the title "The three-leafed Shamrock; or Take them to Phelim."

I have this one in my files. A more accessible source is Rober L Wright: Irish Emigrant Ballads and Songs (Bowling Green, Ohio, 1975) where it is given on page 51 in a New York (Wehmann) printed version.