Lily Allen performing at Glastonbury this weekend

Allen, who performed at Glastonbury this weekend, said she was all the more scared of losing Ethel, now aged two, after she and Cooper previously suffered the stillbirth of a baby boy six months into their pregnancy in 2010.

"When we lost our first, I remember thinking it's just so bizarre that I seem to have all these really unique experiences, you know, the highs along with the lows," she said.

"From playing on the main stage at Glastonbury to 70,000 people to losing a child, it's just, everything seemed to be extremes."

As part of her appearance on Desert Island Discs, Allen chose the song I Would Rather Go Blind by Etta James which she associates with her stillbirth.

"It's quite difficult to talk about it," she said.

"Sometimes I think that listening to certain songs can be really helpful to take you back to a certain place.

"I lost a child three years ago now, and I just remember leaving the hospital empty-handed, so to speak, and driving from Homerton in Hackney, all the way down to Gloucestershire and this song being on a CD that Sam was playing and in a weird way it's just a nice song to kind of connect to."

"I was so scared of losing her": emotional Lily Allen reveals battle with daughter's illness