According to the web site below, the serial number that begins with a "W" was manufactured in 1963. http://oldguns.net/cgi-bin/f2f/f2f.pl?http://oldguns.net/q&a1_05.htm
Your Marlin model 336RC(regular carbine) was made by marlin in the year 1955.
The letter R prefix to your serial number indicates that your Marlin model 336RC(Regular Carbine) was made between 1957-1958.
The J prefix to your serial number indicates that your Marlin model 336rc(Regular Carbine) was made in the year 1952.
With the serial number that you have provided,the 2 letter prefix of AB indicates that your Marlin model 336RC(Regular Carbine) was made in the year 1966.
The K prefix to your serial number indicates that your marlin model 336RC(regular carbine) was made by marlin in 1953.
Your marlin model 336 RC(regular carbine) was made by marlin in 1965.
my husband bought it in the 1970s or late 1960's.The letter W prefix to your serial number indicates that your Marlin model 336RC(Regular Carbine) was made by the Marlin Firearms Company in the year 1963.
1954, I have a V prefix which was 1962.
The Marlin model 336RC which stands for Regular Carbine were made by Marlin from 1948-1968.
With the serial number that you supplied,your Marlin model 336RC (regular carbine) was made in the year 1966.
The letter L prefix to your serial number indicates that your Marlin model 336RC(regular carbine) was made in the year 1954.
Your Marlin model 336RC(Regular Carbine) with a letter K prefix to the serial number,indicates that it was made in the year 1953.