Perry, there is so much wonderful info on the WAGS site, that I've often gotten stuck going thru the 'dark side' Discussions, & Ebay forum, not having cadged the time to get into this, or many of the others -- apologize!
Perry you mention that your little stove is a Charter Oak -- that is really neat -- wish I know how many of these there are around -- tho I'm not much of a toy stove person, would think not a lot!
Also wouldn't think that Filley made too many varieties of toy stoves -- that is, think that it is likely that the pit bottom on your Filley toy T-pot should fit into the stove lid holes of the toy stove, to which it probably goes. Both your toy Filley stove, & T-pot would seem to be what I would call 'practice' size -- which the little 'happy homemaker' could actually use.
[NB beware, there is a repro of the toy Filley T-pot, & its fairly good!]
The other toys look a lot closer to the 'pretend' size(just slightly bigger than the Gris 'Toy #2 sizes') -- these would mostly 'fall thru' the stove's stove lid holes, not sit in/over them.
In agreeing with your take on the earliness of the toy stove, vs. the features of the other toys, also agree with Ed -- that these other toy forms are most likely Hubley, whose patterns were also later transferred/sold to Greycraft. They were produced over a lot longer period than the few Filley toys, & sometimes also appear in boxes/boxed sets.
So despite their appearing on whatever stove in the Toy stove book, don't think that they are original to the stove.
A lot of people that had toy stoves were not such purists that they wouldn't have anything on their stove unless produced by that toy stove co. -- & a lot of time, those companies themselves never produced the toy 'stove furniture', instead buying it from specialists -- either other toy companies(eg. Hubley, Greycraft) or from 'holloware companies' -- eg. Griswold -- remember, Gris, altho producing both 'pretend', & 'practice' sizes, never to our knowledge made a single toy stove(actually, recall that they may have made a single one, as a gift to one of their exec.s).