That's not a glass plate box; the "cut film sheaths" are metal spacers that sit inside a plate holder to allow it to accept film. It may *have* plates inside it, of course, but if so it's a repurposed box.
HC-110 is usually a good developer for really old film, because of its good fog control. There will still be plenty of fog on plates that old, though; in my limited experience, I get a sc*nnable image about half the time, but close to half of those are foggy enough that getting an acceptable optical print is very difficult.
I'm not sure when sheet film started having notch shapes that coded for the emulsion. If you take a sheet out in the darkroom and feel the edges, there will be notches near one corner; trace the shape of those notches and it may help you determine what kind of film. Alas, plates have no notches.
Development times will be a pious guess no matter what, because the effects of age on film are unpredictable. If you have ortho emulsions (not uncommon in the 1940s), you can develop by inspection under a safelight.
You say you *looked* inside the holders---was that with the lights on? If so, I hope you left some unopened!
-NT