OK, the Bar None made for a whopping good story, but it's obvious enough that it's a light ampersand strike. I know B is blued & N is nickeled though I'm still at a loss on the T. It isn't a target model.
Here's a lettered .32 Model 1903 for a factory #3 engraving example. Appears to have a solid rivet securing firing pin. Along w/pinned brl is a pinned front sight that surely quickly fell to the wayside in favor of the solid forged sight/brl.
Factory Engraved Three Digit Serialized Smith & Wesson 32 Hand Ejector Model of 1902 with Factory Le
[Click on one of the four boxes, down & to the left, for full size pictures. Then navigate from the middle of left or right side for next/previous picture.]
"Also referred to as the 32 Hand Ejector Second Model, this revolver was manufactured in 1903 and was a Special Engraved Edition featuring factory Number 3 scroll and punch dot engraving on the rear barrel sides, cylinder flats and frame. "
Under that criteria mine would be at least, & most probably, a #4. It's regrettable that the SN adopted, in my opinion, is the assembly number. I've also located faint same on the bottom of the yoke that I didn't notice previously.
If I'm correct this is a fourth change w/SN matching on the brl flat, cylinder & extractor w/assembly numbers matching inside of sideplate, yoke, yoke cut out on frame and then
borrowed for a re-strike on the butt after cutting a small rounded channel the length of the butt.
If not then both numbers would letter to be blued, engraved, to at least #4, mod 1903 .32 long, w/4785X possibly being 32-20, and perhaps one also coming from the factory w/MOP stocks. At least 9779X indeed was 3 1/4" brl.
Mine, not the linked example from this #8 post, is a low relief style that actually shows little overall wear except for the butchery of the channel cut on the butt and the almost completed loss of the right side barrel embellishment that only shows a tad better than faint outer boundary outline of what looks to be the same as the left side. The pictures don't do the detail justice. Being mostly in the white w/blue remaining in the engraving for the most part helps in the contrast.
I can note a straight vertical line at the rear that implies the right side as well had a rectangular box though it would be impossible to ascertain if it said, 32 LONG CTG or anything.
One interesting aspect of the engraving on mine is found on the left side diagonally from the S&W trademark in the direction of the butt. The floral vine, going left right & up, is wrapped there in a collar/napkin holder. There's no such collar on the other side. That addition appears to be somewhat unique though it doesn't stand out well in the low resolution pics even under full zoom.
So, if you have a picture of an engraving w/similar collar or could shed light on the T stamp, at the bottom right side grip frame by the stock pin across from the B, then by all means share.
ETA Pics:
I didn't take them hence the low resolution. However they will show the style of engraving on both sides. On the left you'll be able to see the napkin holder clearly that I referenced earlier. I know nothing, save only being able to afford lower end examples, about engraved models. However, it seems to me that styles are differing from one side of the frame to the other. I realize the left side has to encompass the S&W stamp, but the circular movement of the sideplate appears at odds w/vine style on the left.
Then again, what do I know?