Every county officer shall keep his or her office at the seat of justice of such county, and in the office provided by the county, if any such has been provided; and if there be none established, then at such place as shall be fixed by special provisions of law; or if there be no such provisions, then at such place as the board of county commissioners shall direct, and they shall keep the same open during such days and hours as shall be fixed by the board of county commissioners; and all books and papers required to be in their offices shall be open for the examination of any person; and if any of said officers shall neglect to comply with the provisions of this section, such officer shall forfeit, for each day he or she so neglects, the sum of five dollars ($5).