Per my recent convo with village hall...the village has not set any ordinances here (small rural town in Ohio) regarding backyard chickens. As long as the neighbors don't have objection, the village is fine with it. The local police department is in charge of animal complaints. I'm not anticipating an issue. I just plan on keeping my flock small, 3-4, so I don't push my luck.
I have not noticed anyone else in town with a coop, so I might be setting a precedent. Though I am technically in town, I can see the village limit sign from my front door.