(a) The county judge in his or her discretion may designate as a county road any street or road dedicated to the public as a public thoroughfare, provided that a bill of assurance making the dedication is properly recorded.
(b) Unless a plat clearly reflects roads that are private, the county recorder shall not accept any plats in the unincorporated area of the county without the county court's acceptance of:
(1) Roads for perpetual maintenance; and
(2) Dedication of land for public purposes.