I'd suggest uploading some pictures -- and posting the pointer to rec.autos.antique as well (and maybe alt.autos.chrysler). Great sport, figuring out what that hulk behind the barn might be, especially after easily removeable parts and telling details have rotted or rusted or fallen victim to souvenir hunters or kids with .22's and all the other things that happen to abandoned cars.
Anything left that has a nameplate, number, or unique stylized appearance could be the rust-zetta stone, so take a good well-lit closeup and/or transcribe such things if you can.
Some good way of judging scale should ideally be in the pictures.
An idea of timeframe -- Chrysler was organized in 1923 (out of, among other things, Maxwell and Chalmers), perhaps after a couple years of skunkworksy doings, and I don't think they actually started selling cars for another year or two. Prior to sometime around 1920, Walter P. Chrysler had been a Buick and GM executive, but I don't know if this involved putting his name on anything. In the late 20s they acquired the venerable Dodge Brothers marque and launched Plymouth.
I think wood was going away in mainstream use as a major structural element by then but could be found in many parts of cars well into the
30s (and even slightly into the postwar era as a body material for some station wagons, a look that the manufacturers of course insisted on imitating or evoking for decades).
I'm scratching my head on an actual Chrysler that looked like a Ford Model T. Its successor the Model A, maybe? (The Model T's long career did overlap with the first few years of Chrysler, but toward the end was considered a very dated design despite some evolution.) Dodge Bros. go back to before WWI and Maxwell even further, deep into the horseless-carriage era, as does Buick, so those could look T-ish; but again, whether (and when) Chrysler's name would have appeared on anything before he took the traditional route to getting one's name on the products is not clear to me.
Some interesting links include
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Cheers,
--Joe