Silver Medal

I suspect they're not listed in any generic American token or medal book, because they're not distinctively American, they are part of a worldwide phenomenon that just happen to have been made in America to fulfil local demand (just like Lodge jewels and religious medals). I think the best reference for them is the Kisch article mentioned on the linked webpage.

We sometimes see them posted here on the forum for identification, both these "regular" false shekels and the ones made for Masonic rituals. this one was posted last year, but it was one of the cheap-n-nasty modern brass pieces with the silvering all worn away.

I have no idea what a 19th century silver one would or should go for. The only false shekel listed on CoinArchives is this one which sold for US$30, but it doesn't give a picture, or much information, or even what metal it's made of. Because they're not listed in any of the regular catalogues, I think most dealers and auction houses simply put all false shekels in their "weird stuff" junk boxes.