1950 big band kiddie stuff sounds like “The Christmas Choo Choo Train” by Art Mooney and His Orchestra (feat. Laura Leslie and The Skylarks). Clarinet flourishes.
Chris Walker seems to karaoke “Happy the Train,” a kiddie song about the train that looks forward to Christmas. Jaunty, perhaps even jumpy. Lots of sfx! Pop.
“A Magical Christmas Train” is a spiraling pop number with odd segments of authentic folk and childlike reverence. James Coffey burns up the keyboard!