Hmmm...
the scrap of tune you put in is the start of Carrickfergus which is most definitely not the tune I have heard for this song.

The MIDI for Carrickfergus is linked to in the DT (where it says Click To Play at the bottom of the page: click here) but it won't play at the moment- otherwise you could see if that's the tune you want.

(What an appalling sentence- but I'm rushing off out. Good luck!)