As I mentioned on the Oranges and Lemons thread, I believe that most if not all of the rhymes in Mother Goose have tunes to them. My mother used to sing almost all of them to me. She could also sing some of the nonsense poems in Alice In Wonderland and Through The Looking Glass. "You Are Old, Father William" is a good song for kids. There must surely be recordings somewhere.
I used to like My Grandfather's Clock when I was a child.