Geldof, 25, was discovered unconscious and unresponsive Monday (Apr.7) at her Wrotham, Kent residence, about about 30 miles southeast of London. She died a short time later.
A toxicology report could provide clues as to the cause of her death, but it will take several weeks before results are available, according to CNN.
In the meantime, speculation is focusing on a possible accidental drug overdose. Some reports have claimed that Geldof was despondent over the loss of her mother, Paula Yates, who died of a drug overdose when she was 11-years-old.
Peaches posted a photo of her as a young child with her mother on her Twitter account on Apr. 6. It was her last post the day before she died.
She spoke in a 2012 interview about her “scary” and “sad” childhood and expressed determination to give her son a stable family life, according to London’s Telegraph newspaper.
Other reports claim that a recent extreme diet in which she lost about 50 pounds may have taxed her system and caused her to collapse.
Geldof was described as a celebrity wild-child in her teens. She left home when she was 16 and worked as a model, a journalist and a television host.
But she was more widely known for her hard partying, that included heroin use. She wrote on one occasion that she “lived a life of wanton wanderlust” and had partied around the globe, “lost in a haze of youth and no responsibilities.”
Still, after she gave birth to two sons, Astala and Phaedra, in rapid succession, she said her life had changed.
“When I had two wailing, smiling, joyful little blobs of waddling pink flesh, they became my entire existence, and saved me from one of pure apathy,” she wrote.
“I had the perfect life — two beautiful babies who loved me more than anything. It was, and is, bliss,” she wrote.