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.
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A 6.2 magnitude earthquake has left at least 10 people dead and caused destruction near to the city of Perugia in central Italy.
Airstrikes were launched into Syria and tanks reportedly sent in as Turkey targets militants threatening its border.
Owen Smith has pledged to block formal Brexit negotiations until the government offers a second referendum or calls a general election.