The Tool Post wrench has 1 or more small 1/4" or 5/16" open ends or socket style ends for use on a lathe tool post. The tool holder has bolts with a small square head on it.
The slugging wrench looks like half of a very heavy box end wrench and has a heavy square opposite end which is struck (or "slugged") with a hammer. Used in heavy mechanical work.
The textile pattern wrench (I'm guessing here) would be used on a loom for setup work?
Examples of the Tool Post and Textile Pattern wrenches here:
J.H. Williams tools Slugging Wrench here:
Proto Slugging Wrenches