Well, I don't know about following Spaw's list, but here are a few I like for dulcimer:

The Minstrel Boy
Tennessee Waltz
Kentucky Waltz
Waltz Across Texas (can you tell I like waltzes?)
Little Redwing (slowly!)
The Ash Grove
Wings of a Dove
You Take the High Road, I'll Take the Low

and of course,

Amazing Grace
Will the Circle Be Unbroken

Sounds like you're having a great time with your new instrument, kat!

Lin