There is no model number for a S&W older than 1957.
Serial number ranges overlap.
A .44 Hand Ejector Second Model has an open ejector rod, a Third Model has a shrouded rod like a current production magnum caliber.
Did you mean gold plated hammer and trigger?
That is certainly aftermarket plating, a popular dress-up at one time.
The chrome or nickel most likely is, too.
That will knock the resale value down about half or 1/3, collectors don't much like Texas BBQ guns unless owned by somebody famous.