Most of the time, that ordinance deals with bovine livestock. Call your local animal shelter, and ask, how many chickens am I allowed to have, and what are the property line restrictions. I am pretty sure you are safe. Especially if youve got acreage.
I used to live in a neighborhood, and we were certainly not allowed to have chickens. But I had 2 lovely hens, kept around the back yard in a hidden pen. I covered the top with green indoor/outdoor carpet, and I cut down small pine trees and lined them around the outside of the pen. Nobody knew about them, and all was well. I finally moved to the country with 5 acres, and took the hens with me. 