For those counties with a total appropriation of county funds not exceeding one hundred twenty-five thousand dollars ($125,000), and upon the expenditure of the county funds equivalent to a county appropriation pursuant to Section 123940, the department may, to the extent funds are available from state appropriated funds for the California Children’s Services Program and upon certification of the county that there are insufficient revenues from the account established pursuant to Chapter 6 (commencing with Section 17600) of Division 9 of the Welfare and Institutions Code, pay for services for cases deemed by the department to represent emergencies or cases where medical care cannot be delayed without great harm to the child.