Norman Cook visited his wife and son on Saturday

Zoe's agent said the 9lb youngster was delivered by elective Caesarean at 1904 GMT.

"Everyone is well and very excited and happy," she said.

"Norman is over the moon and so are the rest of the family."

Zoe's father, former children's TV presenter, Johnny Ball told reporters the baby was fit and well and had the distinctive Ball family features.

Leaving the hospital with Zoe's brother Nick, 24, he said: "They are both absolutely tremendous. He is as fit as a fiddle. It's thrilling.

Tears and champagne

"Zoe said he's got our ears and our noses as well, poor soul.

"There were a few tears and a bottle of champagne."

He said his daughter was likely to stay in hospital for five days.

However, he was unable to shed any light on why the child was being named Woody.

Proud Grandad: Johnny Ball arrives at the hospital

He told BBC Radio 5Live: "As soon as she was pregnant, he became Woody. They just liked Woody Fred. They wouldn't be dissuaded."

He added: "It could be from Toy Story. They've never really answered the question clearly. I really don't know what the answer is. There are more normal names but Woody he has always been."

Zoe, 30, married chart-topping musician and club DJ Cook in August last year at Babington Hall, Somerset, surrounded by scores of celebrity guests.

In May the couple revealed that they were expecting a baby and three months ago a scan showed the child was a boy.

Zoe joins a long list of celebrities who have given birth at The Portland Hospital, including Posh Spice, Mel B and the Duchess of York.