The session is a great site, but there are an awful lot of tunes there, including harder and less played ones.

If your fiddler is anywhere near Beverley, get them to come to the Tuesday tunes workshop in the Tiger. Every level of player comes, including complete beginners. A regular has put together a home made book, 'Beverley easy sessions, the first 100 tunes'.   Some of the easiest tunes are Salmon Tails, Davey Davey Knick Knack, Iron Legs, Boys of Bluehill, Bear Dance, Oyster Girl.

Also, Dave Mallinson, who wrote 'Mally's Melodeon Method' that so many learned melodeon from, has written other books and you can get CDs to go with them. I think there's 'The first 100 Irish tunes for sessions' 'The second 100 Irish tunes for sessions' and '100 less played Irish tunes for sessions'.
Google 'Mally' or try www.mally.com