There seems to be a lot of debate, and the experts can't decide, but suggest it's probably just nonsense for kids.
See the Related Links below for information about this rhyme.
The nursery rhyme "Hey Diddle Diddle" featuring the cat and the fiddle was first recorded in 1765, but its author is unknown. It is commonly attributed to Mother Goose, a fictional author of children's stories and nursery rhymes.
I believe the writer of this old Mother Goose Melody circa 1765 is not known.
Published in 1765. the author is unknown
Cat on a Hot Fiddle was created in 1960.
The Cat and the Fiddle - 1923 was released on: USA: 29 July 1923
The Cat and Fiddle in California has an elevation of 7,234 feet (2,205 meters) above sea level.
A Cat.
the cat in the fiddle
The Cat and the Fiddle - 1934 is rated/received certificates of: USA:Passed (National Board of Review) USA:TV-G (TV rating)
In the nursery rhyme "The Cat and the Fiddle," the animal that laughs is the cow. The line goes, "Hey diddle diddle, the cat and the fiddle, the cow jumped over the moon."
fiddle
A cat
Fiddle
The Cat and the Fiddle.
Redd Stewart & Pee Wee King