Utah: The .32 is a .32 Double Action 4th Model, manufactured in the serial number range 43406 to 282999 between 1883 & 1909. Guns made before serial number 209301 are classified as antiques by the BATF. Your gun was made to shoot blackpowder loads and will have a shortened lifespan if fired with modern smokeless powders.
Per the standard catalog of S&W, value in 2006 would have been around $150 to $200.
The other gun appears to be a modern copy of the Remington Derringer.