Quail Run Apartments 12 Buckley Rd, Stoughton, MA02072 Quail Run Apartments is a clean and modern apartment complex located on Buckley Road in Stoughton. Units range from one-…More to two-bedroom layouts with different floor plans from which to choose. Private garages are also available. There is a clubhouse for gatherings and recreational activities, and the grounds are well maintained. The complex is located approximately one mile from the MBTA rail station. There is also a business center and fitness center on-site.