The Heathery Cruach
From Frankie & Mairead’s duet recording. Not the tune on "Island Angel".
They cite John Doherty as the source.
This tune seems to be virtually the same as ‘The Hornless Cow’, which can be found in O’Neill’s, and is already listed:
I don’t think they are "virtually the same." They are different in the 2nd part.
Perhaps it would have been better to express it as the Hornless Cow appears to be a predecessor of this tune because, although the 2nd part is different, there are similarities in the flow of the tune.