Your 1814 Russian piece was likely a button, yes. I have too many "holeys" to post, so I'll just post the hat and be done with it.
These were detected at an old coal mine in Lydon CO. These were payment for labor and could only be used for rent and foods at the miners store.
Those two that you said came from a mine had a different use as well. Each had a number on them and hung on a board when they came to enter the mine. When the day's work was done, they retrieved the coin/number. Any left hanging there, many times, showed that the guy was still somewhere in the mine and maybe dead or needed aid. It was a way to account who was in the mine at any time.
I get ya. I have married in family that had Grandparents work in the mine, I am sure some of the translations can be skewed. I do know that these men weren't paid in actual us Money, they were working for more or less room and board. At the time I detected them I was 2 or three levels down a concrete shaft. The Mine shaft has long been filled in.
Do you mean Leyden CO? The old Leyden coal mine is just north of Golden. For this. My wife's grandmother was a rice trader and she remembers strings of the 1 Satang coins hanging in the shop.