Phil Cunningham's tune was called "Manus Lunny's Plower Pot", but Jimmy Shand had a tune called "Para Handy", written by Ian Gourlay (released in 1960 with "The 6:20 Two Step" on side B ... possibly written for the BBC series "Para Handy - Master Mariner" shown about 1959/60).

The latter seems quite likely to be what was asked for in the first place.

:-)