It is tough to find parking space near Chertsey Hall! There are four pay-and-display car parks nearby. Beomonds, Sainsburys and Chertsey Library car parks are on Heriot Road and easy to find.
Less known is Gogmore Farm Car Park, a 5 minute walk from Chertsey Hall on Curfew Bell road, just past Guildford Street and Abbot's Way. Coming into Chertsey from the A317, turn at the traffic light as you would normally do to go to Chertsey Hall, but at the first roundabout, turn left (instead of right, towards Chertsey Hall) and the Gogmore carpark is down on your right.
The best insurance for parking is to carpool if possible or arrive early to assure a parking spot, cheers!