If memory serves, Dylan re-recorded all the songs for his broken-hearted Blood on the Tracks after the album artwork, with its liner notes and credits, had been completed. So, the first press of the LP credited the wrong musicians.
But this track was, I think, part of the originally completed project. It's one of many great songs that appear on the LP, although Dylan changed some of the lyrics and the entire arrangement significantly for the final release.
Youtube doesn't seem to have any videos of the final product. So, this will have to do, a wonderful cut from my favorite Dylan album.