As of the latest geographic and administrative records, there is no state, union territory, or major administrative division named "Libraries" within the Republic of India. India currently comprises 28 official states and 8 union territories, none of which bear this designation.
It is highly likely that this query was generated as a result of a typographical error, a system data misclassification, or a conceptual search rather than a reference to a physical, geographic location. Consequently, factual demographic, economic, geographic, and historical data do not exist for a state by this name.