I found
"Kathleen Mavourneen" by John McCormack which sounded like a family name but "Mavourneen" is a term of endearment, meaning "my beloved"...
Then
"The Kerry dance" composed by James Lynam Molloy and sung by John McCormack but it is an Irish dance style, and not Kerry's dance...
So, here is "
My Dark Rosaleen" by John McCormack