It appears you have a Smith & Wesson Model of 1902 M&P, 1st change. These revolvers were produced between 1905 and 1904.
The Model of 1902 revolvers have a different lockwork than a Model of 1905. Be careful, parts are hard to come by.
Do not fire this revolver with +P ammo. In fact many would say don't fire it with modern ammo. The cylinder, if original, is not hardened. The grips appear to be original. If you decide to remove them be careful, they become brittle with age, and originals are costly.
Unfortunately, it looks like your revolver has been poorly refinished in nickel or bumper chrome. That would place it at no more than Fair in condition, assuming the lockwork functions. $150 according to Supica's Standard Catalog of Smith & Wesson, 3rd Edition. For comparison, wanna cry? in ANIB condition, your revolver would run $1500. Still, your revolver as is, is pretty darned neat!