Is the melody different from the verse to the chorus? I'm having trouble putting the tune I know to the words above. My dad used to sing it to me as

Pony Boy, Pony Boy
Won't you be my Pony Boy
Marry me, Carry Me
Far across the sea
Giddy-up, giddy-up
Giddy-up, giddy-up
Whoa! My Pony Boy.