These stamps were produced of a double paper with the bottom paper (backing) being thicker that the face. The face was a bibulous paper, kind of a thin tissue type paper, which would have had one or more holes punched in it but the hole did not go through the backing paper.
There were two different patents on these stamps, one from Addison C. Fletcher (pat. 101,604) and the other from Spencer M. Clark (98,031). Clark was the first director of the BEP having setup its operation in 1862-63 and was granted the patent, Fletcher filed Interference and won, Clark appealled and won. Finally in 1871 Fletcher was awarded from the US Supreme Court.

This is a similar double paper (this one is Charles Steel's design) it is the bibulous paper over white wove which is probably quite similar to the tax paid I am looking for.

The punched hole(s) would appear similar to this (this is the Douglas 9-hole essay) with the hole punched only in the top layer and the design print so that the inked image would print through the punch onto the backing paper. I don't know the size of the holes, number of holes or if any pattern was used.
Edit: thanks for the response. The whole revenue thing it definitely my weak area.