Monroe is a settlement in Newfoundland and Labrador. * v * t * e Monroe is situated on the picturesque inland waterway of Smith Sound, Trinity Bay, Newfoundland. The community was named Monroe when the two settlements of Rocky Brook and Upper Rocky Brook amalgamated in 1912 and was named for the merchant Walter Stanley Monroe, of St. John's, who later became the Prime Minister of the Dominion of Newfoundland from 1924 to 1928.