(b) Notwithstanding paragraph (a) of this subdivision, in the following county jurisdictions the fee shall be set by the county health commissioner: Chemung, Monroe, Onondaga, Tompkins; and in the following local jurisdictions the fee shall be set by the local legislative body: city of Oswego, city of Albany. In such jurisdictions, the fee may be set up to the amount charged by the commissioner as prescribed in subdivision two of section forty-one hundred seventy-four of this title. 4. All fees for searches, certification, certified copies and certified transcripts collected by a registrar of vital statistics in a state hospital, charitable or penal institution shall be transmitted by him to the executive department, having jurisdiction, management and control of such hospital or institution, to be paid into the state treasury as provided by section one hundred twenty-one of the state finance law.