Well, if I had to give that song a title, I'd call it "Memory Train." As it happens, there are at least 3 different songs with that title. I think I can eliminate the two recorded by Rex Allen, Jr. and by Bad Manners. That leaves one recorded by Colors [Russ Dixon, Ryan Merrill, and Brian Tibbets, 1994] and one recorded by Kindred Way [Jon Strider and others, 1994]--which may or may not be the same song.

But I can't find any lyrics or sound samples of those.