R.I. Gen. Laws § 17-11-16: Supervision of adjourned elections.

In the event that a second, adjourned, or subsequent election is held in accordance with the provisions of this title, the same supervisors of election who acted at the first election shall act at the second or adjourned or other subsequent election, and shall have and exercise the same powers and duties at the second or adjourned or other subsequent election as are prescribed by this title for them to have and exercise at the first election; and the supervisors shall perform the same duties as in the first election.