The local community is more familiar with the instutition than you are. Contact or visit the local area congregations. Government agencies frequently require mental health facilities, public schools and other service oriented institutions to do background checks on their potential employees. You may do your own background check. Obtain employees' names and go to the local courthouse.
Most courthouses have records on computer going back at least several years.
While you're requesting information from the institution, notice that on most stationary the members of the Board are listed. You can check on them too while you're at the courthouse. The Secretary of State's Office normally records businesses by the agent's name. Find out what types of businesses the Board members are involved with. That is not always the case.