Such special constables and all informing officers of either of said towns shall inquire after and prosecute any violations of sections 26-276 and 26-277. For the purpose of enforcing the same, special constables, appointed as provided in section 26-277, shall have supervision, authority, control and jurisdiction over that part of Hammonasset River lying above a line running across said river at the mouth of Dudley's Creek, and perpendicular to the course of the river, and of offenses committed within said limits in the same way and to the same extent as though such portion of said river was within the town to which such officers belong, and the officers and authorities of the town of Clinton shall have supervision, authority, control and jurisdiction over the remaining portion of said Hammonasset River.
Conn. Gen. Stat. § 26-278
(1949 Rev., S. 5096; 1961, P.A. 517, S. 29.)