I was looking for something else yesterday when I came across this video. The musician is Poss Slaney, the tune is Jim Payne's "Wave Over Wave". No frills, just a pleasant little tune.
Here is a neat sung version of the same piece, by a St. John's band called Tarahan:
And here is the tune I was looking for in the first place. Poss Slaney again, this time playing "I's the B'y." Somehow I get the feeling that it is very odd of me to not know this tune. . .but I didn't. Now I'm working on it.