(a) Any person liable for the support of a child under any law of this State shall be liable for the care, maintenance and support furnished to a child committed or admitted to any service provided by the Department of Services for Children, Youth and Their Families.
(b) The Department of Services for Children, Youth and Their Families may collect from any such person all moneys necessary to discharge and pay all liability of such child for the child's care, maintenance and support; provided, however, that such liability is based upon ability to pay and in accordance with § 7940 of this title.
(c) The Department of Services for Children, Youth and Their Families may also proceed for the recovery of the moneys necessary for care, maintenance and support in an action to be brought in any court of competent jurisdiction in the name of the Department.
(d) All fees collected under this section shall be deposited into the General Fund.