My 22/33 SN is 361090 however I have no shipping information. The SN matches in three locations, under barrel flat, cylinder and front of grip. There is an assembly number 4573 in two places under crane and yoke. The grips look custom or aftermarket not S&W. I don't know the name for the front sight but I attach a photo of it. The rear sight base has two screwed.
Likely shipped in the 1st quarter of 1923. Sounds like the standard factory Paine bead front sight until replaced by the Patridge in Aug.29, 1923 change order.
The rear sight is considered a single screw (front of sight tang attachment screw is not counted), only the vertical adjustment screw(s) are counted because those are the screws affected by the change (to two screws on K and N frame sights ~ 1935).
Your vintage has 9 serial # locations before WW II:
NOTE: Observing serial #s for accuracy or even existence, especially on penciled stocks, requires magnification, bright light, and an attitude that it is there!
1. Gun butt - or forestrap on I frames/single shots with grips that cover the butt
2. Barrel - bottom of barrel or in extractor shroud
3. Yoke - on rear face only visible thru a chamber with a flashlight
4. Extractor star - backside
5. Cylinder - rear face
6. Right stock only - on back; stamped, scratched or penciled depending on vintage and stock material. (except most target grips because individual fitting not required.)
7. Rear sight, bottom side
8. Rear sight blade (hidden)
9. Front sight blade (hidden)
Assembly (factory work) #s: These multi-digit numbers of 3 to 5 digits, are on the yoke at the hinge, in the 'yoke cut' on frame opposite the yoke near the hinge, and inside of the sideplate, for the pre war and early post war period. The assembly # in the yoke cut of the frame was relocated to the left side of grip frame after model #s were assigned and the serial # was added in the 'yoke cut' where the assembly #, now moved to the left side of the grip frame, used to be. You know they are assembly (factory work) #s because of those 3 locations that always match on guns that are original, and that's the only usefulness for them after guns leave the factory: still used to this day, long after serial number locations decreased.