They also discovered a syringe containing residue of heroin inside a sweet box next to the bed, and other drugs paraphernalia including burnt spoons, syringes and knotted tights throughout the property.
At the inquest, North West Kent Coroner Roger Hatch said Geldof's death had been "drugs-related" and heroin had played a part.
He told the hearing that, although she had struggled to come off methadone, by November 2013 she was found to be free of heroin and reducing her methadone.
Cohen told the inquest that he had gone to stay with his parents in southeast London with the couple's two sons, Astala, two, and one-year-old Phaedra, in the days leading up to his wife's death.
She had seemed fine when he spoke to her on several occasions over the weekend, he told the inquest. His father, Keith, had seen Geldof when he dropped the younger child home to her and did not notice anything amiss.
Cohen said he had last spoken to his wife at 5.40pm on April 6 but, after failing to get hold of her the next day, he and his mother returned to the property with Astala and found Geldof's body.
Pathologist Peter Jerreat said at the inquest that evidence of injections had been found on Geldof's body during a post-mortem examination carried out on April 9.
- PAA