It is hard to say what other specific terms you need without looking at your
stock, and without knowing which of these terms are for database tags versus physical organization (I see a ton of redundancy in your list). If I were you I'd find a big open space, pull everything out and start making piles. That's the only way to not waste your time.
Thinking as I used to when I was a
props master, a show's setting and scene design often calls for an entire kitchen to be propped, or a dining room, or parlor, or patio, or office, so beginning the
stock organization according to what type of room/space the item would likely go in usually makes the most sense. When I start pulling a show, especially when it is a complete, realistic, fully dressed box set type of deal, I want to walk into one area of my
stock, plant my feet, and start grabbing things off shelves in a sort of stream of consciousness manner. Some might be
practical props on my preliminary
props list, and others might just be dressing items that I think will be useful. I want to see at once all the possibilities for that kitchen, and so on. So I think it is time to pause your planning and begin physically pulling things out and making these types of collections that will naturally localize all or most of the
props for each common setting (those settings, again, will usually be rooms in a building, plus patio, garden and forest outside). Maybe your
stock is already somewhat organized in this manner so it won't take long. Once that's done you will have an easier time figuring out what
level(s) of granularity you need in the more detailed organization, which will come down to what your specific
stock contains, and what your specific storage situation is. A database is great, but it has to serve the
practical, physical, fundamentally hands-on process of propping a show.
There are some typical PITA
props that are time consuming to keep making or shopping for, and/or are easy to lose, or there never seem to be enough or enough variety of. Those might be more important to keep very organized. I bet you'll find it useful to get more detailed about paper
goods (newspapers organized by brand and B&W vs color, telegrams, legal documents, checkbooks, you already have money but what kind?) and matching coffee/tea/place settings for specific numbers of people, and serving trays, and really anything that matches - furniture pieces, lamps... So those might be the types of things for which really granular data is useful to record so you don't spend lots of time searching for something you don't have or buying/fabricating something you already have.
Are you planning to actually give every item an inventory #? I personally wouldn't go that far with most things - just use the database to
point people to the right aisle or shelf/bay. But with things of special value, and also with weapons that should be access controlled, I would consider giving the items unique identifiers in the database and physically on the object. Fountain pens, maybe not.