I've owned three or four Winchester Model 47s, and not one of them bore a serial number. These were made form 1949 to 1954, according to my 1981 edition of the
Gun Trader's Guide. The Remington 41s were made from 1936 to 1940, so I doubt they would have serial numbers either.
The 1981 prices in my book are somewhat irrelevant today, I think.
