No, having chickens in the residential area within the city limits is not allowed. § 90.19 of the Codified Ordinance of the City of Wadsworth states that "no person shall keep, maintain or have in his possession or under his control within the city any cattle, chickens, donkeys, ducks, goats, horses, mules, pigeons, ponies, sheep, swine or turkeys." More information can be viewed HERE.