We had the single to this when I was a kid.
Flip side was "Are My Ears On Straight?" -- about a broken doll who'd been repaired and was hoping to be reunited with her "mommy" on Xmas day.
Here's another link for Gayla Peevey's "I Want a Hippopotamus for Christmas"
(Lew's original link doesn't seem to be working).
Woo Hoo! (Sorry I'm behind the times.)
FWIW, we also had a copy of Miss Peevey's "Got a Code in my Node for Christmas"!