(a) Coroners have the power to appoint one (1) or more deputies, and to require them to give bond, with security, to save their respective principals harmless, and for the faithful discharge of their duties.
(b) In those counties which have the office of county coroner, the office of deputy coroner or deputy coroners may be created by private act, and such deputy coroner or deputy coroners shall be authorized to perform all duties which can now be performed by the coroner.