Browning.com has sn data under customer service.
No serial number = no way to answer.
serial #
The serial of you Parker shotgun did not print in your question. But to find a date by serial number, there is a Parker Gun collector website that has a list of serial #'s and date of manufacture. The website is : http://www.parkerguns.org/
Impossible to answer without a serial number and detailed description.
1983
The 2 letters in your serial number dates your shotgun to the year 2004.
No way of knowing without you providing the model number/name of the shotgun and the serial number that goes with it.
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The MW in your serial number indicates that the browning shotgun in question was made in the year 2004.
1977
Call Browning.