This is an official BSA hatchet produced between 1936 and 1941. It was made in conjunction with Bridgeport Hardware Company in Bridgeport Connecticut.
The handle is a mix of bakelite and stacked leather. The 1936 catalog shows wood scales for the handle, with "OFFICIAL SCOUT" in the recess of the handle. Mine has the Bridgeport info in the recess, with WESTERN stamped into the mark side of the poll and a 1st Class Scout rank badge stamped into the cheek. This, along with a similar pommel on the 1936 - 1941 L36K knife, is also the first use of what I call the "calf's foot" pommel shape.
Here's the brass butt plate stamp -