Travel direct to Strawberry Hill station from Waterloo. The journey takes about 35 minutes and there are 4 trains an hour. Strawberry Hill station is five minutes' walk from St Mary's. There are also more frequent trains to Twickenham Station, which is a 20-minute walk or a short bus ride away.
Travel by the District Line to Richmond underground station, and then either take the train to Strawberry Hill or one of two buses (see below) which stop near St Mary's.
You can catch the R68 at Richmond Upon Thames station or in Twickenham to a stop near St Mary's. The 33 bus travels from Richmond bus station to St Mary's entrance. The 285 runs from Heathrow Airport to Teddington. You can then walk down Waldegrave Road to St Mary's.