All persons administering virus (vaccine) in accordance with this chapter shall furnish the owner of each dog or cat inoculated (vaccinated) a certificate of inoculation (vaccination) for each dog or cat inoculated (vaccinated) indicating the breed of each dog or cat inoculated (vaccinated), the sex of each dog or cat inoculated (vaccinated), and the markings and the serial number of the tag attached to the collar or some other device on each dog. Persons administering virus (vaccine) in accordance with this chapter shall maintain records of each inoculation, indicating the owner of each dog or cat inoculated (vaccinated), the breed of each dog or cat inoculated (vaccinated), the sex of each dog or cat inoculated (vaccinated), and the markings and serial number of the tag furnished to the owner of each dog.