No father, or mother when she is charged with the maintenance, of a child under eighteen years of age, or a child with a mental or physical disability under age twenty-one, who is legally a ward of a public children services agency or is the recipient of aid pursuant to Chapter 5107 of the Revised Code, shall neglect or refuse to pay such agency the reasonable cost of maintaining such child when such father or mother is able to do so by reason of property, labor, or earnings.

An offense under this section shall be held committed in the county in which the agency is located. The agency shall file charges against any parent who violates this section, unless the agency files charges under section 2919.21 of the Revised Code, or unless charges of nonsupport are filed by a relative or guardian of the child, or unless an action to enforce support is brought under Chapter 3115 of the Revised Code.