Christmas carols and folk music

Before my December 10 radio show, I told a number of people that I planned to play some seasonal music. One of them commented, "Is there folk Christmas music? I can't think of any." For anyone who is wondering about that, here is the answer:

1. I have heard the popular Christmas songs performed in the style of classical, jazz, blues, folk, and pop. So in that sense, many Christmas songs could be folk or any other genre.
2. In my view, there are two definitions of folk music. One is the particular genre of music that I play on my radio show. The other, older definition is music that is made by the people, rather than only by professional performers. By that second definition, Christmas carols are among the few folk songs left in modern American culture.
3. There are seasonal songs within the folk genre. Examples include "Christmas in the Trenches" by John McCutcheon, "Ten Dollar Christmas Tree" by Bridget Ball and Christopher Shaw, and "Light One Candle" by Peter, Paul and Mary. (Light One Candle is a Chanukah song, not a Christmas song. As you can see in the first paragraph of this entry, I started off saying I was going to play "seasonal" songs, not only Christmas songs.)