The BRIMFIELD BARN..... 2017 Show Dates: May 9 - 14; July 11 - 16; Sept 5 - 10 Welcome to the BRIMFIELD BARN, located in the heart of Brimfield, Massachusetts, home of the world famous Brimfield Antique Flea Market. Brimfield is on busy U.S. Route 20, seven miles east of Palmer and seven miles west of Old Sturbridge Village, in the central part of the State. The BRMFIELD BARN is located towards the western part of the Flea Market, across the road from the Heart-of-the-Mart and Francesco's Italian Restaurant and next door to Collins Apple Barn.