Ohio Rev. Code § 3375.14
The board of education of any city, exempted village, or local school district may provide for the establishment, control, and maintenance of school libraries for the purpose of providing school library service to the pupils under its jurisdiction. Such board of education may contract with any public board, association, or other organization operating a public library in a community to furnish such school library service, the board of education paying all or such part of the expense thereof, including the salaries of school librarians, as compensation for the service rendered, as the two boards shall agree upon as terms of the contract, provided that nothing in this section shall prevent such public board, association, or other organization operating a public library from providing classroom collections, operating bookmobiles, branches, or the main library of a public library, notwithstanding the fact that such branches or main library may be located within a school building.
Such board of education may purchase, erect, construct, enlarge, extend, or improve buildings for library purposes, including sites therefor, and equip and furnish such buildings.
R.C. §3375.14