Library Facilities in the Kentucky Mountains 18 counties have either a public or an institutional library iithin their borders. 12 of these counties have one public library each. 1 county has two public libraries. 26 counties have no libraries of any kind within their borders. Of the public libraries 6 are tax supported, 4 are supported by Womens' clubs and 1 is endowed, and 1 supnorted by gifts and subscriptions.