Coram, NY. Coram is a hamlet (and census-designated place) in Suffolk County, New York, in the United States. As of the 2000 census, the CDP population was 34,923. Coram is a community in the Town of Brookhaven served by the Longwood Central School District and the Middle Country Central School District. Coram is the oldest settlement in the central part of the Town of Brookhaven. Its early name was Wincoram, perhaps the name of an Indian who lived in the area as late as 1703. The first white settler in the area was likely William Satterly, who sought permission to open a tavern to cater to travelers in 1677.