If you can get Cathal McConnell and Len Graham's recording "For the Sake of Old Decency", it contains a lilted version of "The Quaker's Wife" that runs into one of Padraig O'Keefe's slides and a nice version of the above mentioned "Little Pack of Tailors" (Wind That Shakes the Barley).
It's a live recording taped here in Pittsburgh in '91 (I believe '91). It also contains, amongst other things, a brilliant rendition of Calliope House dedicated to George Balderose for whose house the tune was written and the "Banks of the Ilen(sp?)" played as a hornpipe,a jig and finally as a reel.

I think a lot of the difficulty in lilting (much like scat or other vocal music in jazz)is confidence of doing it without worrying that people think you're faking it.
Good luck! I hope it works out for you.

Rich