There isn't a comprehensive list of serial numbers for Jones machines like there is for Singer. You have to go about it differently; identify model, type of machine, and maybe you can track down year of introduction, years it was made, maybe close serial numbers, etc. I guess 1920 and older these days are antique machines, any newer falls in the "vintage" category. At some point around 1960 (or maybe a few years before) Jones models are probably badged Japanese made machine, any zigzag model is likely to be Japanese, much the same for late 15 clones.
Here's a rough guide to identifying model