When any agency of the City of Lexington or of the County of Fayette is abolished or consolidated by this Charter, all assets, contracts, franchises, books, papers, maps, charts, plans, records, equipment and other personal property in the possession of same shall be delivered to the agency to which its rights, powers, duties and obligations are transferred. In case of controversy between two (2) or more agencies as to the rightful possession of such records and equipment, the Mayor shall be empowered to transfer same to such agency as he may direct.