Peaches Geldof gave birth to her second baby this week - on what would have been her mother's birthday.
The former wildchild, who already has a son called Astala with husband Thomas Cohen, gave birth on Wednesday to a boy called Phaedra, her spokeswoman said.
The couple married last year in Kent.
Speaking last year, Geldof said the baby's name was a nod to one of their favourite songs, Some Velvet Morning by Lee Hazlewood and Nancy Sinatra, which contains the line "Some velvet morning when I'm straight I'm gonna open up your gate and maybe tell you about Phaedra".
Geldof's mother, Paula Yates, died of a drug overdose in 2000.