Center Moriches moh-RITCH-iz) is a hamlet in Suffolk County, New York, United States. The population was 7,580 at the 2010 census. Center Moriches is in the town of Brookhaven. It is the location of the historic Masury Estate Ballroom and Terry-Ketcham Inn, both listed on the National Register of Historic Places.The name Moriches comes from Meritces, a Native American who owned land on Moriches Neck.