Hey,
Those are factory Bozak cabinets. The flakeboard is correct, the Tufflex batting is correct, the baffle is factory, and as Drugolf stated they are the Early American model.
You need to take some time to decide what you want to do. You've got a long road ahead of you if you want to get these into daily drivers with matching drivers. The tweeters with the chrome dust cap are the early paper cone B200X tweeters, these need to be replaced with the later aluminum cone B200Y tweeters. As it stands, the crossovers are built for either the X or the Y tweeters, not both. Tweeter performance between the two cabinets will not be balanced.
The B209A mids are the first iteration of the aluminum cone midranges. Unfortunately, they have a nasty cone resonance issue. At the time, instead of rebuilding them to make them right, a foam ring was installed around the surround to calm the issue. However, after 50+ years, that foam has hardened and no longer does its job. So, those mids should go in the recycle bin and the later B209B mids need to be procured and installed. Yes, there are some rumors that some have engineered modern replacements for that foam ring. But there's an inherent flaw in the driver itself, no bueno. There are also rumors floating around that it just doesn't matter, they're fine. If they were mine, they'd go in the recycle bin. It's up to you to choose your path.
The B199's don't match, you have an early 1950's version and a later one. They're both just fine, but not in the same cabinet. The early one is more efficient, it doesn't have the excursion the later models do. Your performance will vary between the left and right, not matched. Sell the older one, replace with a later Alnico 1960's version of B199.
Once you have all matching later 1960's drivers, then you can rebuild the crossovers.
Also, you absolutely must have the swinging curtain. If they do not have them, you must make one. This is a key component in the Bozak Infinite Baffle system.
Like I said, you need to decide what you would like to do with the project. You've got a long way to go if you choose to move forward.
Biggles