During the session of the General Assembly, and for five days before and after the session, members of the General Assembly, the clerks thereof and the clerks’ full-time assistants, and the sergeants-at-arms of the Senate and House shall be privileged from being taken into custody or imprisoned under any process except as provided in § 30-7; nor shall such persons for such periods of time be subject to process as a witness in any case, civil or criminal. The provisions of this section shall be applicable to the Lieutenant Governor during his attendance at sessions of the General Assembly and while going to and from such sessions.