Hi brandybuck! You can use the blue search box in the top right of this page to find songs and tunes, or click on these:
Brennan on the Moor
Rosin the Beau
Rocks of Bawn (seems like the meter is a bit off to me)
...which is very similar to Paddy West

Also try:
Bonnie Light Horseman
Star of the County Down/Gilderoy