As "The Horses Run Around," this was available on an old Disney children's record album, "Goin' Quackers!". Cartoon voice artist Will Ryan handled the vocal chores and it was funny as sin.

The horses run around, their feet are on the ground
Oh, who will wind the clock while I'm away? [squeak, squeak, boing!]
Go get the axe, there's a flea in Lizzie's ear
And a boy's best friend is his mother!

Earlier, in 1930, the Oswald Rabbit cartoon ALASKA has a wonderful version of the song, too, sung by a deadpan Klondike bar entertainer who eats soda crackers as he sings. The "boy's best friend" line ends every verse in that version, and on the final round he sings "Mammy," Jolson-style, rather than "...mother."