Thank you everyone for your help. It looks like Aseel is the popular answer for my Annie. From the pictures I've seen, she does seem to resemble one :)
Oh how interesting. I had no idea about that. I just assumed she somehow escaped someones backyard or something. She can't really fly though so we are assuming her wings have been clipped.
I see you live close by, we live in Suisun :)
We found her living in a bush on a busy street. I don't know how long she was living there, but it looked like for a while. I think she is extra skinny because of that, but it could also be due to her breed.
Thank you everyone!
So far these are what people have guessed she is:
Bantam and/or game fowl
Aseel
Sumatra
Maybe as she grows I will get a better idea of what she is.