I believe I have what you're looking for. I grew up listening to a collection of Christmas music put out by the Columbia Musical Treasuries Orchestra group. It was released by CBS Direct Marketing Services in 1968. The songs on the first album side 1 are in the following order:
Deck the Halls with Boughs of Holly
Carol of the Bells
Away in a Manger
O Holy Night
Here we Come A-Caroling
O Little Town of Bethlehem
Prayer From "Hansel and Gretel"
Joy to the World
Let me know if you're interested in receiving a copy of this on audio cassette or CD. I have a CD burner, and it'd be simple enough to make a copy of the album to whatever format suits you best.
Also, I will not charge anything for this. It's gratifying enough to know there are others out there that enjoy this music as much as I do.