In any county comprising a part of a regional library district or in any county contiguous to such a county in which there has been created a regional library district, the taxing authority of any subdivision of the county, not included in said district and maintaining a free public library for the inhabitants thereof, may, upon request of the board of trustees of said free public library, adopt a resolution providing for the inclusion of said subdivision in the regional library district. Upon the adoption of such a resolution, the taxing authority and the board of trustees of the free public library shall take appropriate action transferring all title and interest in all property, both real and personal, in the name of said free public library to the board of library trustees of the regional library district. Upon the transfer of such title and interest in such property said subdivision shall become part of the regional library district.