(A) The owner of any licensed impounded dog shall have the right to reclaim the same at any time prior to the lawful disposition thereof, upon payment to the Animal Control Officer of the costs and charges provided by resolution of the City Council for the impounding and keeping of such animals.
(B) Any person claiming ownership of any unlicensed impounded animal shall be required to present proof of ownership satisfactory to the Animal Control Officer, and thereafter the animal may be released to said claimant upon his making payment of all applicable costs, fees and charges prescribed in this chapter and upon his causing any necessary vaccination to be performed.
(`83 Code, § 6.36.050)