What is the value of an 1890 Wyoming coin?

I'm going to take a wild guess that it has a silhouette of a cowboy on one side and a picture of George Washington on the other, and it's the size of a quarter. If so, please look at the coin below the cowboy to find the date it was minted, 2007. What you have is one of the tens of billions of state quarters minted between 1999 and 2008. If you check your pocket change (you did do that, I assume) you'll see that every single State Quarter has 2 dates on it. The one at the top is the date the state was admitted to the Union, and the one on the bottom was the year the coin was actually minted. So unless it's an uncirculated or proof coin it's just an ordinary quarter.