So I went to the attic and pulled it out. It's old, dirty and still threaded. So I started poking around online to get some information about this machine. It's a Singer Touch and Sew Zig Zag 758 and after a bit of searching I found a manual for it with a copyright date of 1970! That's right, this thing possibly older than I am!
It's also VERY dirty. Apparently being stored for the last (at least) 15-20 years hasn't been good for it. It did actually turn on though. And the needle went down. It did not however go back up. So I started messing with it and realized that the presser foot was stuck to the plate below.
So I started taking things apart and found this....
It looks like the black plastic like thing melted(?) and gummed up the plate and the foot. I'm thinking Goo Gone might help the plate and foot, but think the black piece will just have to be replaced. If I can get this thing to work.