Not sure about the two on the right, but the extreme left appears identical to the sizing/lubing inserts in an old Herters L/S device I bought from them in the mid-'60s. The main lubericator body fits into a standard press, the inserts screw into that device, the bullet holder fits into a stock shell holder....as the ram is raised it forces the bullet into the sizing chamber where it's lubed under pressure. The top handled "punch" is the ejector mechanism for that now lubed bullet. Kinda slow but effective.
I'd suggest you try to locate some data on Herters gear or perhaps pick up an old catalog.........makes for a facinating read if nothing else.
The more I look at your stuff the more convinced I am that those are all Herters lubing or sizing assemblys.....you are missing the bullet holding base I described. It's a cupped device designed to hold the bullet nose first, is rimmed on the bottom to fit the shell holder. I could be wrong on the two right pieces but I am positive about the left.