Australia's Prime Minister Kevin Rudd and his New Zealand counterpart John Key have welcomed the arrival of the royal baby.
Mr Rudd said it was a time for "rejoicing", while Mr Key said it was a "momentous day" for the Duke and Duchess of Cambridge.
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The Tory peer and former Marks & Spencer chief has been named as chairman of the 'In Campaign'.
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Cloud and showery rain may linger across the far northwest throughout Saturday.