Early Handmade Groove Pencil

Early hand made pencil. The Early Office Museum's History of a pencil states “The piece of wood into which the leads were placed has a groove about twice as deep as the thickness of the rod of lead. A slat of wood was then glued in over the lead to completely fill the groove.” Describes this pencils construction to a T. Typical for its age, there are no markings on this pencil. The only other circa 1820's - 1840's pencils I know of with no markings are the Benjamin Ball Pencils from Harvard, Massachusetts and I hear some Thoreau pencils. I'm also aware of the William Munroe pencils from the Boston area producing pencils as early as 1812. Could this be a Munroe???