I asked a question about a "Wonder Pot" a bit ago, and this item came up on a search. I don't think it's a wonder pot though. The center hole is effectively much smaller, and there are not any vents in the lid. There isn't a "flame tamer" either, although this part may be lost.
I keep seeing cookware like this in thrift stores, and I'm pretty sure it's for one specific task. What might that task be?
Best Answer
This one had me scratching my head for a while. I came across the phrases "stovetop oven", "raised center skillet", "steamer pan" and a bunch of other dead-ends.
Well, I finally stumbled onto "Ultimate Dutch Oven":
Looks familiar, doesn't it? This one is cast iron, but what you've found is clearly a non-stick version of the same thing.
It's sold as camping gear. The raised center in the middle is what they call a "convection cone". Presumably it's meant to emulate a convection oven (inefficiently, I might add, since there's no fan) - the vents in the cone are a means of distributing the heat, to help mitigate the usual skillet problem of the bottom being overcooked while the top is still raw. I'm pretty sure that nothing is actually supposed to go "inside" the cone, other than hot air. It's probably fairly effective if you're cooking over an open flame (i.e. extremely hot air).
A 3" high non-stick version of this would seem to be of pretty limited use. I can imagine trying to make "baked" potatoes in there, or maybe pre-butchered chicken parts? As you can see from the link above, the "full-size" version can hold a couple of small birds, and again, it's cast iron, so it's infinitely more useful for outdoor cooking.