Lead doctor on baby delivery team is with the Duchess

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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World celebrates prince's birth

The royal couple have been sent messages of congratulation from around the world. US President Barack Obama called the birth a "joyous occasion".