Any idea on date of manufacture?
Welcome to the forum!
You have what used to be a vary desirable and valuable S&W: the .44 S&W Special 1st Model Hand Ejector, Military model New Century. More commonly known as the Triple Lock for its unique 3 locking devices to lock the cylinder in place.
Dates of manufacturer are not available at the factory. But they can supply shipping dates.
Here are numbers near yours with confirmed ship dates:
11308 6 ½” nickel, shipped October 21, 1915,
11370 6 ½” nickel, Aug 18, 1915
11701 shipped February 23, 1916, outlined logo
12064 6 ½”, nickel, shipped 9/1/15 to Belknap Hardware, Louisville, KY, sent back to S&W 10/46 for micro click sights
Clearly the coating was not successful and did not perform in hiding the pitting as it was recommended. What did that cost?
To confirm if it was originally nickel from the factory, you should look for the serial number in the extractor shroud under the barrel.
With bright light and magnification, search for the tiny serial # stamped in the front end of the extractor rod groove, and a 'B' in front of #. If it does not have a B for blue, it was shipped from the factory originally nickel plated.
That would be a good thing because Re-nickel plating is the only possible option to make the gun visually acceptable, if desired.
After chemically stripping the coating it needs brazing to flow brass rod into all the pitted areas. Then the surfaces leveled, and polished for nickel plating. Most nickel platers do not have that expertise but experienced firearm refinishers do. And they also know which parts are not plated to be a correct restoration. The hammer, trigger, middle lock cam plate should be color case hardened and the ejector star of the cylinder should be blued.
Of course you'd want to confirm it's mechanically functional first, even if you just want it as a shooter. What condition is the barrel bore?