Lorne Greene does this with a fake Scandinavian accent, but it might have a touch of Russian, too.

My transcription from a recording at YouTube:


STUCK IN THE CHIMNEY
Written by Ken Darby
Recorded by Lorne Greene

Saint Nicholas came, dancing overhead,
Den yumped nimble down da chimney.
Ah, vhen he saw de dinner table spread,
He had a feast, by Yim'ny.
Fust he ate de goose, den he ate de fish,
Gobbled up de smorgasbord an' ev'ry tasty dish.
When in de morn we tumbled out of bed,
Dere vas Nicholas, old Saint Nicholas,
Shtuck by de belly in de chimney.