Thanks for those who responded. Unfortunately, none of the suggestions 
are correct. The song definitely is not "God Bless Us All." It's an 
upbeat piano-based song with a bouncy rhythm, and the lyrics start out with:

Snow is falling everywhere
There is magic in the air
Carols are sung, and the stockings are hung
All by the chimney with care

Every nose is cold and red
Santa's packing up his sled
Sugarplum fairies come to kidnap Mary
Nestled all snug in her bed

As I said, I'm pretty sure the title is "Mary Christmas," though that's 
just from memory.

Heck, I'll just put the song online. I downloaded it for free 
originally, so I can't imagine anyone would object:

http://diskermusic.com/Mary%20Christmas.mp3

That's an MP3 converted from a WAV ripped from a CD burned long ago from 
the original downloaded MP3, so you can understand how I've managed to 
lose all the identifying data...

Robert R. Berry