Stew Leonard's reportedly plans to open a second store on Long Island, on the heels of one in Farmingdale, N.Y. slated to open in early 2016. Photo: Dru Nadler / Dru Nadler Stew Leonard 's is assessing sites for a second supermarket on Long Island, according to multiple reports, with its debut store there scheduled to open early next year in Farmingdale, N.Y. Stew Leonard's has supermarkets in Norwalk where it is based, as well as Danbury, Newington and Yonkers, N.Y. The company also operates stand-alone wine stores.