The Trust is authorized to receive and the County is authorized to pay over and transfer to the Trust from time to time, subject to the limitations of Subsection (b) of this Section, monies or property to carry out the purpose of the Trust, provided that property transferred by the County to the Trust or purchased with funds paid by the County to the Trust and designated for such purchase may not be absolutely disposed of by the Trust without the approval of the Council. The Council may appropriate from time to time such sums as the Council may determine to be necessary for the purposes of the Trust.