The song you mentioned in your post above, "Thats Right Too" is listed in the discography section of Liz's website.

As does this one:

http://alan-ng.net/irish/tunography/tune.asp?ID=1894

Which also gives links to several other tune indexes on-line here:

http://alan-ng.net/irish/tunography/#other

All of which took me under a minute to find with a google search. Hope we aren't working you too hard for finding the information.