Possibly not relevant, but the weights stamped on Smith barrels were before final fit and finish

1909 12g 00 with 30" Armor Steel barrels, stamped 4 over 5. The barrels now weigh 4lbs 1oz.
'BH' could be Belknap Hardware, a major distributor in Louisville, KY.



Dean or Bill would know if the same applies to Parker weight stamps