The OP has a late production version of the first model of the Savage pistol. I have seen that model referred to as the 1907, 1908, and 1909. You can tell it is late production by the fine slide-pull serrations and the small curved cocking piece, both of which are similar to the Model 1917. The three models Savage made are this early one, the 1915 and the 1917.
The Savage cocking piece looks a lot like a hammer, but it is attached directly to the striker. As I understand it, the striker rests on the primer of a round in the firing chamber when the cocking piece is lowered, so it is not a good idea to actually use it when the gun is loaded.
The Model 1915 is the rare version. It has a grip safety and a last-round hold-open, but no external cocking piece. It was only made for about a year, then Savage discontinued it and starting making the early version again. The Model 1917 was not made until the 1920's, despite its name.
There is a very good book about Savage pistols by a man named Bailey Brower. It is very complete and well written, with excellent photographs. It was reasonably priced when new, but it may be out of print and expensive now.
PS - I should have thanked Patocazador for putting up good photos. His middle photo is of the early version of the first model of the Savage pistol, showing the original cocking piece and slide-pull lugs. This is kind that turns up most often, IMO. The OP's is a bit scarcer.