"Bouree" and "A Christmas Song" are on that Tull Christmas album.
"Out In The Snow" Al Stewart
"Silently Falling" from Chris Squire's Fish Out Of Water album isn't folk, but it fits.
"Hard, Hard Winter"--The Strawbs
"Fairy Tale Of New York"--Kirsty MacColl & The Pogues. Careful, this one has a bit of language that some my find objectionable.
"I Believe In Father Christmas"--Greg Lake/ELP or the version by Bapu.