THE TINKERMAN'S DAUGHTER is included on Niamh Parson's album "Loosely Connected", which available from Green Linnet. The liner notes list the composer as M. McConnell and the publisher as Elm Grove Music. As I understand it, this is a modern song written in a traditional format. I only know of this one tune for it which is quite haunting.

I hope this information is of help.

Best,

Meg