I checked the City of Converse ordinances and ti looks like you are supposed to register fowl (obtain a permit) with the animal control agent and meet the following restriction for keeping poultry;
Chicken, turkey, goose, guinea, duck, pigeon, pheasant, quail, or other fowl. Such fowl will be kept in a pen, lot, or enclosure, enclosed with "chicken wire" and they cannot be permitted to run at large within the city limits. All of the sides of such fowl lot shall be at least 75 feet from any building or structure used for living, sleeping, or dining by humans. Each such fowl lot will be of a size that provides a minimum of five square feet of space per fowl in the enclosure. The fowl house, if used, will be in this area. Such fowl lot must be constructed so that the fowl cannot fly out of the fowl lot.