Heavenly Hiraani Tiger Lily Hutchence Geldof was born on July 22nd 1996 to INXS frontman Michael Hutchence and Welsh journalist Paula Yates. She has 3 older half sisters from her mother's previous marriage to Irish singer and activist Bob Geldof: Fifi Geldof, Peaches Geldof and Pixie Geldof.

Aged only 1, on November 22nd 1997 she lost her father, and on 17 September 2000, on Pixie's 10th birthday, her mother Paula Yates, 41, died at her home in London of an accidental heroin overdose. Soon after Yates death, Geldof assumed foster custody of Tiger Lily with the willing consent of Hutchence's parents, so that she could be brought up with her three older half-sisters. Her aunt, Tina Hutchence, the sister of Michael Hutchence, was denied permission by the judge to apply for Tiger Lily to live with her in California.

In 2007, Geldof applied to a British court for and was granted formal adoption of Tiger Lily and a change of her surname to Geldof, despite opposition from Hutchence's mother and sister. Since January 2008 her legal full name has been Heavenly Hiraani Tiger Lily Hutchence Geldof.

Sadly, around 6 or 7 April 2014 her older half sister Peaches died of an accidental heroin overdose, like their mother Paula Yates.

On July 2019 she graduated from Goldsmiths, University of London.