Hi all,Here is a site with the midi file of Greensleeves Variations. I don't know whether it is the same as the ones mentioned above, but it is well worth a listen. http://midiworld.com/earlymus.htm
For what it is worth, the Greensleeves tune never struck me as being particularly Irish - it reminds me more of the courtly dances e.g. French or Italian style of music. This is just my opinion (i.e. no fact involved whatsoever).
Helen