The Brine
In S2E7, "The King Is Dead," Lois is named Artistic Director of the Quahog Players, based at the Brine Theatre. When Brian briefly volunteers as a seeing-eye dog in S3E1, "The Thin White Line," he accompanies a blind man to a matinee at the Brine. In S3E17, "Brian Wallows and Peter's Swallows," Lois and Peter attend a matinee at which the birds in Peter's beard disturb the audience. The theater is also where Lois and Peter revive their folksinging act in S4E23, "Deep Throats," and where the Redneck Comedy Tour makes a stop in S5E12, "Airport '07."
Trinity Repertory Company is probably the theater troupe with the highest profile in Rhode Island. The name "The Brine" could be an homage to Walter "Salty" Brine, a beloved local television and radio personality who passed away in 2004.