Try www.ceolas.org/tunes/ I have found this to be a very useful site, apart from the DT of course. Just type in @IRISH in the search box and the list that appears contains just a few(!!!) midis.

http://foxleap.fortunecity.com/irishlyrics/

www.martinic.nl/niessink/songbook/

www.grainger.de/music/irish.html

www.prof.co.uk/irish1.html

These are a few more sites that may prove useful. Prof.co.uk will email you with lyrics and tunes.