Brand: X - Unknown
Made in: USA
S.E. Bridgman is a stationery supplier. Not considered a manufacturer so I call them a “Quazie” or kind of a brand name pencil. Judging from the box I'd say probably made by the Eagle Pencil Company in the late 1800's. I have a similar A.W. Faber set with the same three polishes.
I call these “Quazi” brands because I’m not 100% certain which company actually made them. Sometimes the pencils are stamped with a stationery store or maybe even the name of someone famous. But my hunch is they were produced by another company. If you have more information about any of these vintage pencils I would love to know!