What is the value of a 1874 silver coin the size of a dime with a lady on the front side facing left and III with a wreath around it on the back United States of America is around her head?

Uh, the "lady" is Miss Liberty, as in Statue Of ...

What you have is a nickel 3 cent piece. That odd denomination was minted to make it easier to buy stamps at a time when postage was 3 cents. As of 11/2008 its retail price range is:

Very worn - $15

Moderate wear - $26

Slight wear - $40