Geldof, 25, died suddenly Apr. 7 at her home and her passing remains a mystery. No cause of death has been established yet.
The church, located in the quaint village of about 6,000 residents, roughly 15 miles southeast of London, is filled with bittersweet memories for the Geldofs.
It’s the resting place of Peaches’ mother, Paula Yates, who died of a heroin overdose in 2000 when Peaches was 11.
It’s the scene of Peaches’ 2012 marriage to musician Tom Cohen. They have two children together, Astala, 23 months, and 11-month-old Phaedra.
Peaches mother and father were also married at the church in 1986.
Spotted in the crowd at the private funeral were supermodel Kate Moss and her husband Jamie Hince, former Rolling Stones bassist Bill Wyman and model and television personality Jo Wood, former wife of Rolling Stones guitarist Ronnie Wood.
Model Alexa Chung, Razorlight frontman Johnny Borrell, singer Eliza Doolittle and actress Jaime Winstone were also spotted making their way to the church.
Ferguson, former wife of Prince Andrew, Duke of York, arrived at the funeral alone in a chauffeured Bentley, according to London’s Daily Mail.
Peaches’ ashes are expected to be scattered in the estate’s garden, where she played as a child, according to reports.
A toxicology report, which is still due, may shed some light on how Peaches died. She may have been distraught over her mother’s death.
Although Peaches had a reputation for heavy partying and drug use, she appeared to have turned her life around after giving birth.
But she lost a substantial amount of weight and some tabloids speculated that she may have died from too much dieting.