Assuming it's "about the size of a modern cent", then I'd assume it's actually a British farthing of King George I.
The next question would be authenticity - as one possible explanation for its crude appearance is that it's a contemporary counterfeit. I'm mainly raising the possiblity because a normal off-centre strike shouldn't have a raised lip like that, but a cast copy might.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis