I would also say, the barrel is not original to the frame on that gun. look at the sight alignment; the front sights are a Baughman-style ramp made for a revolver with adjustable rear sights. That's one reason the interface of barrel and frame don't match up. It's like putting a M19 barrel on a M10 frame. I'm betting that frame once had a longer barrel mated to it, somebody wanted a snub nose and found the S&W barrel. Since it fits, I'd say the frame is Taurus, if not a S&W.

What does the SN look like on the bottom of the butt?