Dennis–Here is the history of the “Arrow” brand shot shells. This should allow you to date yours. All Arrow shells use the Rolled Crimp.
1901–Introduced by U.M.C.–Maroon case–Very high smooth head–U.M.C.Co. No 12 ARROW
1905-1910–Case color changed to Salmon.
1911–Headstamp changed to “REMINGTON U.M.C. No 12 ARROW”
1912–Ring and words added to base cup under a patent of 12 March 1912. The purpose was to allow space for the cup to expand. This helped prevent “case cut-off” which had been been a problem before.
1916–Headstamp changed to "REM-UMC No 12 ARROW
Ca. 1921-1923–Arrow brand listed with the “New Remington Wetproof” case. Case color is still Salmon.
1929–New “Lacquered” cases listed. Color not listed, but most likely changed to Green.
Note that the Lacquered shells are NOT the same as the Wetproof shells.
1931–Color listed as “Glossy Green Finish”
1933–Color for “Arrow Wetproof” listed as Red. “Arrow Lacquered” is “Glossy Green”
1934–Remington introduces “Patented Corrugated” shell, but ONLY in Nitro Express.
1936–ALL (Including Arrow) now listed with corrugated case.
1937–Most, but not all, “ARROW” loads listed as “Being Discontinued”.
1940–The “ARROW EXPRESS LACQUERED” shells now have the headstamp “ARROW 12 GA EXPRESS”. The “ARROW WETPROOF” still has the old REM-UMC headstamp.
1948–Last listing for “ARROW” brand shot shells is the 2 Jan. 1948 Dealer Price list. No listing in the 1948 Retail Catalog or the 3 Nov. 1948 Dealer Price List.