That's actually not a Smith & Wesson revolver, though it chambers a round developed by S&W. Guns with the "Secret Service" markings were made by (I think) Harrington & Richardson. Or maybe Iver Johnson. If you Google "H&R Secret Service Special" you will get some hits that may point you in the direction of better information.
EDITED TO ADD: And I should have said first, "Welcome to the forum."
I see Timetripper had some good info for you, and I'm pleased to learn that what I said is not inconsistent with his far better report.