> I use a double beveled “carpenters hatchet” very differently, and
> my ‘bearded’ hatchet was probably more accurately called a
> “hewing” hatchet than this one. The hatchet in question is
> technically and correctly a “BROAD HATCHET”.

I believe that hewing hatchet and broad hatchet are synonyms.

> The item in question has a blade that is <7” from tip to tip. The
> head is flat on one side. The eye is offset.

I think a photo is in order here.  7 inches is quite wide for a hatchet.
It might be a wheelwright's hatchet, which larger than a standard broad
hatchet.  Off set can also be vague; broad hatchets, as well as the
wheelwright's hatchet have eyes set off to the side, but cooper's are
off set to the side, but also angled away from the edge.

Mike in Woodland