These are all tributaries of the CT River. The Farmington is part of the CT River system as the reg states you are fine....

Black Hall River (Old Lyme, CT)
Falls River (Essex, CT)
Eightmile River (Hamburg, CT)
Deep River (Deep River, CT)
Salmon River (Moodus, CT)
Mattabesset River (Middletown, CT)
Hockanum River (East Hartford and Hartford, CT)
Park River (Hartford, CT)
Farmington River (Windsor, CT)
Scantic River (South Windsor, CT)