Each house of the Legislature, the Clerk of the House of Representatives, the Secretary of the Senate, or any committee appointed to investigate the facts concerning the election or qualifications of any member or persons claimed to be such, shall have power to issue subpoenas and compel the attendance of witnesses and the production of such documents or papers as may be required. In addition, the clerk or the secretary, as the case may be, shall have the authority to enforce any subpoena issued by him or her and to enforce compliance with the time limitations set forth in Section 23-15-955 or in any internal procedure or precedent of the respective house of the State Legislature.