I certainly don't know the answer. I would guess that any Singer motor would work. On the refurbs that were done in the war years, they used generic motors.
Are you needing more parts than that? I'm just guessing, but I would think the parts are similar to a 327. I had one that I cleaned up. It was pretty, as the color was really nice. However, It sounded like a freight train. All the oil in the world didn't help. I gave it to one of the neighborhood kids for his mom. She was probably happy with it, as she didn't have a sewing machine.
Someone will be along in the morning who has more knowledge than I do.
bkay