The local governing bodies of Franklin County, Henry County, and the Cities of Danville and Martinsville may by ordinance provide that, in privately owned parking areas open to the public, a summons for violation of an ordinance promulgated under § 46.2-1242 may be issued by (i) private security guards licensed under the provisions of Article 4 (§ 9.1-138 et seq.) of Chapter 1 of Title 9.1 and deputized to issue a summons for the offense by the chief law-enforcement officer of the county or city in which the private parking area is located or (ii) any owner of the private parking area of a nursing home, as defined in § 32.1-123, or agent or employee thereof, provided that such owner has registered in writing on his own behalf or on behalf of his agent or employee with the chief law-enforcement officer of the locality his intention to issue summonses pursuant to this section.