Long Island Towns - Long Island New York Towns | Suffolk | Nesconset | Nesconset is a hamlet and census-designated place in the Town of Smithtown, in Suffolk County, New York. The community is served by the Smithtown Central School District. The name of the community is derived from the Algonquian name for the area, âsecond Crossing.â The area was sparsely occupied for centuries, until the construction of the Smithtown Bypass in the 1950âs opened up the area for commercial development ...