Named after the city of Chester, Thomas Cubitt built the square as part of the Grosvenor estate close to Eaton Hall, the original Grosvenor family estate, as it was near to Eaton Hall, the original estate of the Grosvenor family. This extremely prominent London address can list many notable residents, including Prime Minister Margaret Thatcher, owner of Chelsea Football Club Roman Abramovich, rockstar Mick Jagger and writer Mary Shelley.