IME There are instances where the county office tells you " you are not eligible through the county, we are referring you to the state" What does this mean?
I'm not sure. It could be that even though it's a state program, each county agency handles its own approvals, and each one has different rules for who is eligible, perhaps based on the average income level in that county. Whereas the state agency has no such restriction, and can approve you even if your county can't.
But that's all just speculation.