Hello WMJ and welcome. Sounds like you have a .32 Regulation Police. But as they say a picture is......... 4411XX seems high for a serial number, is it actually 6 digits? If it is a RP the serial is on the forward part of the grip frame and can be read with the grips mounted. Is there a step in the grips frame rear? The patent date and wood on the bottom pretty much indicates a RP. Do your grips have gold medallions (1915-1920), no medallions (1920s) or silver medallions (1930-WWII)? .32 Regulation Police models are not so marked, only the 5 shot .38 S&Ws are.
I am on a break and working from memory, hopefully someone with references will happen along soon.