No offense, but do you have very large hands? The Peace Dollar is 1.5" in diameter. But I believe that was the only coin with that liberty head design, so if it's not the peace dollar, it would have to be some kind of commemorative, or token.
Yes, as a coin, it's worthless -- coin value depends on how close it is to sheer perfection as is possible for its age and usage. Even coins I've shot with guns were in better shape than this one! So, it's silver melt value, or nothing.