Welcome o the forum Gillert4u, Catfish2, and lowmoor4me,
First let me say that the only way to positively identify when a gun left the factory is to request a Factory Letter of Authentication ($50) from Roy Jinks the official S&W Historian. If your old Safety Hammerless is a family heirloom or in any way special to you it is well worht the money. I can give you an estimate to probably with in a year or two but the guns were not shipped in perfect numerical order so it is just an estimate.
1gillert you didn't specify if it was 32 or 38 caliber. If 32 it is a 3rd model that probably shipped within a year or so of 1910. If it is a 38 it is a 4th model that shipped around 1904.
Alex, your 32 SH is a first model and shipped right around the last half of 1897 or the first half of 1898. I believe it is considered an antique by the BATF.
Lowmoor4me you also failed to specify 32 or 38 caliber. Your gun shipped around 1895 if it is a 32 and it is a first model. If it is a 38 it is a 3rd model and shipped around 1892.
Mark