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Murray is a census-designated place (CDP) in the town of Fairfield, Fairfield County, Connecticut, United States. As of the 2020 census, Murray had a population of 848. It is in the northern part of Fairfield, with Burr Street running north–south through the center of the CDP. The Merritt Parkway crosses the CDP from east to west, with access from Exit 28 at the eastern edge of the community.