Only way I know of. Amazon.com: Standard Catalog of Smith & Wesson (Standard Catalog of Smith and Wesson) (9780896892934): Jim Supica, Richard Nahas: Books
Supica and Nahas is the "Bible" for S&W owners. It'll get you close. You can send a request to S&W and for a fee will give you a letter of authenticity and history for any S&W you have. I do have a copy of Supica and Nahas, so if you have a model and serial number, I can look it up for you and get you close.