The official custodian of the books, records and papers or other property of every railroad corporation shall keep the same in his or her possession and at all times during business hours have the same ready to be exhibited to any officer, director or any committee appointed by the stockholders, representing one-tenth of all the subscribed stock, on request, and furnish them or either of them transcripts from the records or proceedings of the board of directors, under the custodian’s official hand and seal, on the payment to the custodian of the same fee as that required by law to be paid to the register of deeds for transcripts. The official custodian shall on vacating the office of official custodian make over all such books, records, papers and property of the railroad corporation in the custodian’s possession to the custodian’s successor in office, and where no successor has been elected to the board of directors, or to the person appointed therefor by the stockholders.