Cat Goes Fiddle-i-fee by Paul Galdone
An illustrated version of the folk song--juliet finds it mesmerizing. I sing the whole thing as she looks at the pictures. At the end, after I've sung the last "fiddle-i-fee", she looks at me and says, "I want to read it again." So we do.
If you don't know the tune, you can hear the song at a myspace karaoke site. Just scroll down and click on "artist version" then, "hear the full version."
Here's Ophelia, not exactly the same as the cover of the book, but pretty darn close.