Scrump, I agree that "I don't think you can call The Marvellous Toy a Christmas song, even if it does get played a lot at Christmas."

The same is true for Jingle Bells, Frosty the Snowman, and a whole raft of songs listed in this thread.   Of course, many of them are winter songs.
:)

Funny, but while I've now seen "Scarlet Ribbons" included in the tracklists of some Christmas albums, I never associated that song with Christmas. I knew the song for several decades before I ever even realized some people did.

Roger Miller's song "Little Toy Trains" is another children's/toys song that's thought of as a Christmas song, though I don't think it mentions Christmas or Santa (does it?).