Conn. Gen. Stat. § 9-394a: Senatorial and assembly district convention delegates.

Any major party in any part of a town which is a component part of a senatorial or assembly district composed of parts of two towns or of a town or towns and a part or parts of another town or other towns may select delegates to a senatorial or assembly district convention in such district as provided in this title and its party rules and may participate in the selection of a candidate for state senator or state representative in such district in the manner provided for a town which is a component part of a senatorial district in a district composed of two or more towns under this title. In addition to other requirements prescribed by law, the name of a person on whose behalf a primary petition is filed for nomination to the office of state senator or state representative for such district and the names of the signers of any such petition shall appear on the last-completed enrollment list of such party for such part of a town or for any other town which is a component part of such district.