The library board shall have the power to authorize any circulating library reading matter or works of art of any person to be deposited in the public library rooms and to be drawn out or used outside of the rooms only on payment of such fee as the person owning the same may require. Deposits of such reading matter or works of art may be removed by the owner thereof at pleasure. The books or other reading matter so deposited in the rooms of the public library shall be separately and distinctly marked and kept upon the shelves apart from the books of the public library and every such private library or other property so deposited in the public library, while so placed or remaining therein, shall be subject to the use and reading within the library room, without charge, of anyone entitled to the free use of the public library.