THE GARDEN WHERE THE PRATIES GROW can be found in Wehman Bros.' Pocket-Size Irish Song Book, No. 1 (New York: Wehman Bros., 1909), page 15. It's mostly the same as the version in the DT but it has one additional verse:

2. She was singing an ould Irish song, called, "Gra gal machree,"
Oh! says I, what a wife she'd make for an Irish boy like me!
I was on important business, but I did not like to go
And leave the girl in the garden where the praties grow.