Thanks Joe for the correct artist and the spelling.
The link didn't work.
I went to mp3 typed in the search box:
Dominick the Italian Christmas Donkey, and they have it! I can't download it :( I have webtv.
I came across these lyrics from another group.

DOMINICK THE DONKEY
(from Lou Monte)

Santa's got a little friend. his name is Dominick,
The cutest little donkey. you never see him kick .
When Santa visits his piasons, with Dominick he'll be,
Because the reindeer cannot climb the hills of Italy.
Hey, chingedy ching hee haw hee haw. it's Dominick the donkey.
Chingedy ching hee haw hee haw, the Italian Christmas donkey.
La la la la la la la

Jingle bells around his feet and presents on the sled,
Hey look at the mayor's derby on top of Dominick's head.
A pair of shoes for Louie and a dress for Josephine.
The labels on the inside say they're made in Brooklyn.
Hey, (chorus again)

Children sing and clap their hands and Dominick starts to dance.
They talk Italian to him and he even understands.
(Italian parts then I don't have correct spellings)
Then it's the chorus again
And then the end is
Hey Dominick, buon natale hee haw hee haw
..........................................
Happy Holidays!

HTML line breaks added, and changed from all caps. --JoeClone, 28-Jul-02.