Thanks. Actually, it's an O.G., N.H. block of stamps, even though it has a P.O. handstamp cancel. Apparently this post office marked sheets upon sheets of these stamps, presumably to document postage due payments, and later they were broken up into blocks of 4 as shown in my scan.
Here's another example (again, lower right of the block) that may be more common, except that the stamp looks as if it were "oversprayed" (?) with ink:

Another sectional close up:
