We have added a link to the park-up-com web site in the Travel Arrangements section. If you enter the relevant post code (SW3 5DQ), this site will provide a map of the locale annotated with where on-street parking bays are located. This is accompanied by a list of road names, including the hours of control and hourly fee.
As we mention on the page, we would not recommend placing reliance on finding a vacant parking space near to the Church on the day.
Peter & Jenn