§ 34.026 CITY JAIL.
   (A)   The city jail or prison is hereby declared and established in the rooms provided in the city building. The county jail may be also used as a prison for the incarceration of persons who shall have been arrested or convicted of offenses against the ordinances of the city.
   (B)   The Chief of Police shall have charge and control of the city jail and shall be responsible for the custody and safe keeping of every person committed therein. With the consent of the Mayor or by order of a court he or she shall be authorized to transfer prisoners to the county jail. For such time as such prisoner is confined in the county jail, the city shall be liable for the legal expenses of transferring and the board of such prisoner.
(‘68 Code, § 2.40)