This is a close-up series of model #2.
So, to start, photos of the entire front, here:
Here you can see the small square of trim projecting from the front, that covers the edge of the screening. This is apparently a classic construction for screens. I've seen it in a couple of places on the web, with instructions for making screen doors. One example is here.
Finally, once again, there is no evidence of fasteners on the screen itself, to keep it in the window. So I would imagine it was fastened in with turnbuttons, which are attached to the exterior window casing. However, as I've discussed in various other places in this series, you can also use other fasteners marketed by House of Antique Hardware, here. This isn't a shill for the company, just a nod to the fact that if you google screen fasteners, most of what you will get is hardware for aluminum screens--there don't seem to be a lot of places one can get fasteners for wooden screens, so just sharing what I've found. (A complete post on fasteners can be found here.)
And that's it for this model.