(e) Except as otherwise provided by this subsection, a fee of $4 shall be paid for each certificate of live birth filed with the state registrar. Such fee shall be paid by the parent or parents of the child. If a birth occurs in an institution, the person in charge of the institution or the person's designated representative shall be responsible for collecting the fee and shall remit such fee to the secretary of health and environment not later than the 15th day following the end of the calendar quarter during which the birth occurred. If a birth occurs other than in an institution, the person completing the birth certificate shall be responsible for collecting the fee and shall remit such fee to the secretary of health and environment not later than the 15th day of the month following the birth. The fee provided for by this subsection shall not be required to be paid if the parent or parents of the child are at the time of the birth receiving assistance, as defined by K.S.A. 39-702, and amendments thereto, from the secretary for children and families.