The value of patented lands within the park offered in exchange, and the value of the timber on park lands proposed to be given in exchange for such patented lands, shall be ascertained in such manner as the Secretary of the Interior may, in his discretion, direct, and all expenses incident to ascertaining such values shall be paid by the owners of said patented lands, and such owners shall, before any exchange is effective, furnish the Secretary of the Interior evidence satisfactory to him of title to the patented lan