Take me out to the ball game — circa 1864. Cheer the New York Gothams as they take on the Flemington Neshanook, using vintage play rules. This is a special event at the Old Stone House in Park Slope, which served as the original clubhouse of the beloved Brooklyn Dodgers baseball team. The game is 11 a.m. Saturday, part of a five-borough festival celebrating New York City’s historic buildings. Find the full weekend schedule here. Take the kids. Except for a special evening tour of Gracie Mansion in Manhattan, all the weekend events are free.