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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This year's Pride in London event will include a minute's silence to commemorate the victims of the Orlando shooting.
An urgent appeal has been made to help trace the mother of a five-year-old girl who was found alone at a bus stop in Brighton on Friday.
Weight of people trying to sign caused government petition to website to crash as Europhiles try to force a rerun of the EU vote.