Planting Fields Arboretum State Historic Park, which includes the Coe Hall Historic House Museum, is an arboretum and state park covering over 400 acres located in the village of Upper Brookville in the town of Oyster Bay, New York. Near the end of America's Gilded Age, the estate named Planting Fields was the home of William Robertson Coe, an insurance and railroad executive, and his wife Mary "Mai" Huttleston Coe, the youngest daughter of millionaire industrialist Henry H.