Did I just buy a freak sewing machine?

At a garage sale I bought a nearly new sewing machine. It had everything with it except a foot control pedal. No worries I thought to myself, I will look up the part on ebay and poof I will be ready to roll. Alas, it appears everything with the same model number had a different plug. All my pedal needs looks to be a 1/8” plug. It is a Singer 3820–1 which, to my chagrin turns up bupkis at the Singer site. I am sure there are probably manuals and stuff out there so I can learn about this thing but I’m not having very much luck when all they do is tack on a -1 on the end of a model number when they go electronic. heavy sigh..