I'm in Newport News, and I know that here you have to have the coop 175ft away from any other residence, and 250ft away from any church/school building.
Here's what I saw when looking up yours:
§ 6-2004.
Horses and other livestock.
Horses and other livestock and animals bred from livestock shall not be permitted in residential zoning classifications unless specifically provided for by other provisions of this zoning Code
When looking for exactly what "livestock" entailed, I found this:
(Ord. No. 98-O-024, 2-17-98)
Livestock, domestic. Animals normally raised on a farm, or as part of commercial agricultural or animal husbandry operation, or normally used for purposes related to agricultural production or commerce, wildlife farms and rehabilitation facilities. Livestock, including animal breeds derived from livestock, shall not be deemed to be pets and may not be maintained as an accessory to a residential use unless specifically permitted under this zoning ordinance. Livestock shall be divided into two (2) groups:
(1) Large animals--including horses, mules, donkeys, llamas, cattle, swine, goats, sheep, and similar breeds.
(2) Small animals--including chickens, except as provided for in the definition of pet, turkeys, and other types of fowl, rabbits, except as provided for in the definition of pet, fish, except as provided for in the definition of pet, and breeds similar to those listed as small animals. For the purpose of this ordinance, the limitations set out in other sections of this ordinance on the number of animals per acre shall apply only to large animals.
You can find the info
here, just click on VA and Chesapeake, and then "Chesapeake code of ordinance" to view it online. Once in your ordinance you can do a search for specific words (I typed "poultry") and it will take you to the pages that have that topic, and it'll highlight the word you searched for throughout the document.
Hope that helps...