I decided to email Hanna Hats directly; hopefully they will have an answer for me. Edit: the only thing Hanna Hats can tell me is that they bought the tweed as end of a roll years ago, and have not gotten it again since then.
I still wear this style most of the time. I have a brown one also with the camo band,. Both are Mossy Oak branded.
Here are a couple of mine. Daddy always said, straw after memorial day, felt after labor day. The straw is a Boot Barn special that wears just as good as my work out Stetson. The felt is an old Laredo brand 3x Beaver. Neither one are anything special, but they work well for the intended purpose. Though, the crown and brim on the Laredo has fallen out of "style" in Texas, at least from all the Urban or Daddy bought me everything cowboys.