Ohio Rev. Code § 3375.93
If the need for a regional library system ceases to exist, the board of trustees may, by a two-thirds vote of its members, declare its intention to dissolve the organization and file with the state library board a plan for effecting such dissolution.
The plan shall state the means by which the participating libraries may record their approval or disapproval of such intended dissolution, and shall include a plan for the distribution of the assets of the regional library system. If the regional library system received more than fifty per cent of its total budget for the previous three years from grant funds provided by the state library board, the state library board shall make final determination of the distribution of the assets.
A participating library may withdraw from a regional library system on the first day of July in any year, providing that notice of the withdrawal intention has been given at least eighteen months prior to the date of withdrawal. Whenever a withdrawal occurs or another library joins a regional library system, an amended plan shall be submitted to the state library board for approval.
R.C. §3375.93