R.I. Gen. Laws § 22-1-5
Wherever in the general laws or in any public law a duty is imposed upon the president of a city or town council or upon the local board of any city or town or upon a city or town clerk, sergeant, or constable in connection with the election of a senator, the duty in the case of a senatorial district comprising parts or the whole of more than one city or town shall be deemed to be imposed upon the president of the city or town council or local board or city or town clerk, sergeant, or constable of each or all of the cities or towns in which the senatorial district shall lie. Wherever in the general laws or in any public law a duty is imposed upon the city committee, town committee, or ward committee of a political party in connection with the election of a senator, that duty shall be deemed to be imposed upon the senatorial district committee of the party as the context shall require.
R.I. Gen. Laws § 22-1-5