Here is the Night Before Christmas parody which dates to 1947 and is found in the underground book Folk Poems & Ballads pg 56:

DER NITE B-4 XMAS

Der next nite vas Christmas, der nite it vas shtill.
Der stockings ve hung by der chimney to fill.
Nodding vas shtirring at all in der house,
For fear dat St. Nicholas vas nix kum heraus.
Der children var tired und gone to der bed,
Und mudder in her nightgown, and I on ahead
Vas searching around in der kloset for toys.
Ve crept around kviet not to raise any noise.
Now mudder vas carrying all de toys in her gown,
Showing her person from der vaist on down.
Ven ve come near der crib of our poy,
Our youngest und sveetest, our pride und our choy.
He opened his eyes vide as he peeked from his cot,
Und den he seen everyting his mudder has got.
But he didn't even notice der toys in her lap,
He chust asked, "Fer who is that little fur cap?"
Und mudder, she said, "Hush," und she laugh mid delight,
"I tink I give dot to your fadder tonight!"