I went to Wiki, and went through the "List of United States presidential candidates" looking or something (name-wise) that might fit. Out of those that did, most didn't fit the appearance, or dating. Whoever is on the Obverse of what you have seems to be early 1800's at least.
That said, may have nothing to do with Politics, or at least Presidential Politics, maybe State or more local. I looked for a couple hours, searching keywords of the coin/token, had no luck. The closest I came was what I'd posted, and obviously is not it.
Hope you find what/who it is, but I'm having doubts....not because I could't find it, only because I think it's someone really obscure. Hope I'm wrong, lol...I'd like to know who/what it is. Good Luck!