Pulled this off the web:

Often thought by those outside of the Tri-State Area as being in The Bronx, Bronxville is a village located in Westchester County, New York. As of the 2000 census, the village had a total population of 6,543. It is the home of Concordia College, a Christian liberal arts college operated by the Lutheran Church - Missouri Synod. Bronxville is located in the town of Eastchester.

The "..ville" in Bronxville adds a lot to the real estate costs. My family moved to CT in 1963.