It is also the same church where the funeral was held for her mother Paula Yates in 2000.
Peaches Geldof, 25, daughter of musician and campaigner Bob Geldof, was found dead at her home on April 7.
A post-mortem examination proved inconclusive and results of toxicology tests are expected in the coming weeks.
Kent Police said her death was being treated as “non-suspicious but unexplained and sudden”.
Peaches Geldof married musician Thomas Cohen in 2012. The couple had two sons, Astala, 23 months, and 11-month-old Phaedra.
Her mother, TV presenter Paula Yates, died in 2000 from a heroin overdose when Peaches was 11.
Paula Yates had split from Bob Geldof and went on to have a relationship with INXS lead singer Michael Hutchence, who died in 1997.
An inquest in to Peaches Geldof’s death is not expected to be opened by the coroner until after the results of the toxicology tests are known.
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