In the event that a plan for the financial reorganization of any such railroad corporation shall be proposed, involving as an element thereof, a compromise or reduction of the claim of the State for unpaid taxes, and notice thereof, together with the details of such plan or reorganization, including the method proposed for the liquidation of such claim for taxes be given to the Governor, he or she shall forthwith refer the matter to such Commission, which, with the assistance of the Attorney General, shall investigate the same and certify its findings in respect thereto to the Governor in writing, together with its recommendations thereon.