well first of all it would help if you told where you lived == "Locally owned and operated" means that the business is actually owned by someone who lives in the area, and that person also runs the business. Many chains such as KFC will have local owners who own and run one or more stores.

Answer KFC and their ilk are franchises and therefore would not come under the aegis of "locally owned and operated", which suggests a degree of independence not available to franchisees.