It is a blade, in which case it was from a "Rolls Razor" for shaving. I think the script says that, so not too much of a mystery , and the case was for portability. I have seen them as a set of 7, one for each day of the week, and they came with a sharpening machine which was an oil stone on one side and leather strop on the other. The section is much the same as a cut-throat razor, but much (well a little bit) safer.
BobH