The secretary-treasurer shall keep a record of all meetings of the board and an official register of all applicants for registration under the provisions of this chapter, and shall perform such other duties as may be prescribed by the board. The register shall show the name, age, nativity, and place of residence of each applicant, and also whether the applicant was examined, registered, or rejected under the provisions hereof; and the register shall be prima facie evidence of all matters therein contained and shall be open at all reasonable times to public inspection.