My father wasn't very musical. I only remember a couple of snatches:

"The cuckoo, she's a pretty bird. She sings as she flies.
She brings us good tidings and tells us no lies."

He sang it to the tune I now know as "My Horses Ain't Hungry."

Also:

"Horsy, hold your tail up, hold your tail up, hold your tail up.
Oh, horsy, hold your tail up. Keep the sun out o' my eyes."

He sang that to the tune of "Ach Du Lieber Augustine."

In each case, I think he only ever sang one verse. I wasn't very interested in those days. I wish I had asked him if he knew more.