Send me a PM. I could email you a photocopy if you want, of what I have. Which is a lengthy set of variations on the tunes, from an old fiddle MS. Whether they were written by Watts, I'm afraid I dont know. In fact, why dont you come and collect the copy? If you are interested in BW English music, we would have a lot to talk about.
You will find a lovely recording of the tune(I like to think) on the seminal NW recording, "The Beggarboy of the North", Greg Stephens and Crookfinger Jack(1977). Now, alas, unavailable, though I gather it will shortly be reissued on CD.