Still something wrong. RP 10785 would have shipped about 1919, but the ejector rod configuration we see in the pictures was not used before the very late 1920s.
You need to confirm that the reported serial number came from the forestrap of the grip frame. Many people think the serial number is what is stamped on the hidden surface of the frame that becomes visible only when the cylinder is open. That is true in recent decades, but numbers found there in prewar models are process control numbers that have no meaning once the serial number is stamped on the grip frame and secondary parts of the gun. Again -- grip frame, rear face of cylinder, flat underside of barrel. That's where you will find the true serial number.
A possibility: IF the gun went back to the factory for a repair it could have been rebarreled and refinished in 1944 -- but then you would expect to see a star after the serial number on the grip frame. The rebarreling would explain how the gun got a later ejector rod configuration on an earlier gun.
True RP stocks from 1919 would have had a 1917 patent date stamped in the bottom of the left panel. The actual stamp reads PAT. JUNE 5, 1917 (I think, doing this from memory.) But by the late 1930s that stamp was no longer used. I don't know of a 1944 stamp on any S&W revolver.
Still a bit of a mystery.
AFTERTHOUGHT: Should have mentioned this earlier, but the small logo on the left side of the frame is usually not found on frames manufactured after 1936. From early 1937, S&W revolvers were manufactured with large logos on the sideplate. Guns with the smaller logo that were made up and shipped after that date would have been based on older marked frames being used up.