Vin Garbutt's song PARKIN RAINE appeared on his album "King Gooden" (Greentrax 1976). KING GOODEN was also a separate cut on the same album.

The Tees Side Fettlers also recorded PARKIN RAINE, which they attributed to Richard Watson, on their album "Travelling the Tees" (RTÉ Records, 1975). I don't know whether they used the same tune as Vin Garbutt.

The text of OLD PARKIN RAINE THE FIDDLER: A SONG can be seen in Poetical Works of Richard Watson by Richard Watson (Darlington [England]: Printed at the office of William Dresser, 1884), page 77ff. There is no indication of what tune is to be used.

It is also at The Internet Archive.