Ok I searched the www.municode.com for you and I couldn't find ANYTHING to say you couldnt have chickens in residential areas...either in the ordinances or the zoning section. The following is all I did find.
Distance between adjacent buildings. The minimum distance between an accessory building and any other building(s) on the same lot shall be as prescribed in article III, except that no poultry or livestock shelter shall be erected nearer than 100 feet to any dwelling on the same lot.
Height of accessory buildings. The height of accessory buildings shall be as prescribed in article III.
Location. An accessory building may be erected in side and rear yard areas only and shall be set back from side and rear lot lines as prescribed in article III, except that, if erected on a corner lot, the accessory building shall be set back from the side street to comply with the setback line applying to the principal building for that side street and except further than [that] no poultry or livestock shelter shall be erected nearer than 100 feet to any lot lines. Unless otherwise noted in article III, accessory buildings shall meet the setback lines for the principal building.
Sec. 22-1. - Structures for keeping animals.
No person shall erect, construct or maintain within the township any shed, coop, runway or pen, for horses, cattle, swine, sheep, goats, rabbits, poultry or pigeons, which is nearer than 100 feet to any door or window of a dwelling, nor shall any shed, coop, runway or pen be kept in an unclean or otherwise unsanitary condition.
Animals. In every hotel, motel, roominghouse, rooming unit and boardinghouse, there shall not be kept, harbored or maintained in any room in such establishment or on the outside grounds or premises any rabbit, parakeet, chicken, pigeon, dog, goat, sheep, cat or any other animal, bird or fowl unless the facilities for maintaining the animal are such that an unsanitary or unsafe condition will not be created or maintained.
In addition to those procedures established as a deterrent to juvenile acts of vandalism and to parental neglect of child supervision pursuant to N.J.S.A. 2A:53A-14, and upon the conviction of any juvenile under the age of 18 years for any high misdemeanor, misdemeanor or violation of any statutes of the state or ordinances of the township, which acts include vandalism and destruction or damage to realty, personalty, pets, animals, livestock or other chattel, the parent or lawful guardian of such juvenile shall be responsible for financial reimbursement to the victim of such crime or offenses.
To establish and regulate one or more pounds and to restrain and regulate the running at large of horses, cattle, swine and other animals, geese and other poultry, and to authorize the impounding and sale of the same for the penalty incurred and the costs of keeping and impounding the same.