The two tunes, while not an exact match, are certainly incestuously related. In fact, when I first started accompanying Linn (Bat Goddess) on this, I had to be careful not to slip during the intro.

Mush mush ri toorilaye addy,
Mush mush ri toorilaye ay.
There was ne'er a gossoon in the village
Dared tread on the tail of me coat.