I thought I might chime in as this might help out. I am also in unincorporated Wauconda, but on the Lake county side. In the village of Wauconda, they don't allow chickens unless zoned as agriculture. Since your unincorporated you go with McHenry County ordinances. In Lake county they recently amended the rules so you have to register your coop. Was a 25 dollar fee, they wanted to know where the coop would be and what it would look like. So he went online and printed off a picture of something similar to what mine will look like. He asked how many chickens I'd like to have, I said I'd like more than 12 but I didn't have my AG exemption yet. Since I have over 200,000 sq Ft of property I don't have a limit to how many I can have and can also have roosters. In Lake county you can't have roosters unless AG exempt and there are limits of how many chickens depending on lot size. I believe you could have 10 hens if you had a lot of 80,000 sq ft or more.
I'd go on McHenry county's website and type in chickens and see way pops up. That's what I did for Lake county. Being unincorporated you go with county ordinances.