I think the mystery tunes have been identified and one thing I have now learned is that there are two different tunes named The Rakes of Kildare. I didn't know that.

Mysteries solved! Well done everyone!

And the publisher of my copy of O'Neill's could be David Michael Collins because the copyright symbol is next to his name on the next page after the title page, but it could be Shanachie Records (at the same address in The Bronx, NY) because there is a note on the same page about further information available from them on Irish and Celtic music. (I should refer this book to the Librarian training institutes as a publishing puzzle to be solved by the trainees. LOL)