Scott U.S. 157 is found on hard white wove paper, double paper,intermediate paper, and ribbed paper. When held up to light, the hard white paper is translucent, but the double and the intermediate paper appear mottled like soft paper.
By the time soft paper was used for the 2 cent large banknote, the color had been changed to Vermillion. Below are two Continental 2 cent stamps, on the left is a double paper and on the right is an intermediate paper, and below them is a Scott #183, the American 2 cent large banknote.
If the last stamp you showed (partial red cancel) looks mottled like the top two stamps I'm showing, its either double paper or intermediate paper. There is no soft paper 2 cent brown large banknote.

