Taliaferro's zoning code is here.
It is VERY poorly written. Based on a keyword search, my interpretation (I am NOT a lawyer, an expert on GA County Zoning, etc - I'm just a guy with some very odd reading habits who has helped draft legislation, redraft legislation, etc), chickens are only allowed in Taliaferro county on properties zoned Agricultural, each of which is 5+ acres, and subject to 200' setbacks from each property line. There is, however, no restriction on roosters specifically.
From definitions:
Agricultural Uses —Use of land and structures for the processing of agricultural and forest products, and related operations, including dairy and milk products and by-products; chicken hatchery; sawmill or planing mill for lumber and forest products and by-products processing and production; primary point for livestock, field and forest product collection, sales, and shipping; trade in odor-producing goods of rural origin such as hides, skins, raw furs, livestock,
poultry, fish, and other animals and animal products.
And from the Permitted Uses in zoning section:
4.3 - A District.
1.
Permitted Uses:
a.
Agriculture, dairy, forestry and ranching, and other normal agricultural uses with a minimum of five (5) acres;
b.
Buildings incidental to agriculture, dairy, and ranching uses;
Note that where the County does not regulate, that does not mean "open season, do what you want", it means look to the superior Code, which in this case is the State of Georgia. You will want to familiarize yourself generaly with
O.C.G.A. Title 4. and
Title 41 (Nuisances).
and once more, for emphasis. The Taliaferro County Code is VERY badly written. There is a reason that the code of most counties in the US follows similar format. Taliaferro's does not - I suspect because most of it was written before the relatively modern practice of lawyers helping their clients "exploit loopholes" (ensure that vagueness was interpreted in their client's favor) in Zoning, and its never been redrafted.
To illustrate. Most Codes have a lengthy definition section - this is where Codes set the "ground rules", so you see things like definitions for "pets" and "livestock" sometimes even "wild animals" (anything not pet or livestock, typically), so Tommy Trainer doesn't call his caged lion a "pet". Taliaferro doesn't.
In the Zoning section itself, *most* modern codes declare everything forbidden. Everything. Then they carve out Permitted and Conditionally permitted uses within the space. End result (legally)? If the code doesn't specifically allow it by mention, you can't do it. Taliaferro does not.
Honestly, it looks a bit like the code of my county, and I don't think we have 20,000 people living in it...