The doctor that led the team that delivered the royal baby - the Queen's former gynaecologist Dr Marcus Setchell - is with Kate at the Lindo Wing of St Mary's Hospital in Paddington.
Rumour among the media outside is of an early departure.
More top news
Vincent Kompany claims it is "unacceptable" Man City had no fans at their Champions League tie at CSKA while the home side apparently did
Teenagers are being tricked into sending inappropriate photographs through social media, police say.
June and Barry Steenkamp tell Good Morning Britain they accept the judge's decision but still do not believe Pistorius' version of events.