Greenwich Park Branch Line in south-east London was built by London, Chatham and Dover Railway (LCDR) from Nunhead. It ran from a junction at Nunhead in a generally north-east direction to a terminus on the Greenwich High Road, close to the north-west corner of Greenwich Park, approximately 3 miles (4.8 km).
All closed on 1 January 1917, and the branch beyond Lewisham Road was abandoned on 1 January 1926 by the Southern Railway.
More information on the Wikipedia page [1].