Prime Minister David Cameron said news that the Duchess of Cambridge had gone into labour was "very exciting".
Mr Cameron said, "Best wishes to them. A very exciting occasion and the whole country is excited with them. So, everyone's hoping for the best."
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More than 11,000 BHS workers will be told they face redundancy consultation today.
Divisions among MPs and party supporters have intensified in recent weeks amid an increasingly fraught leadership battle.
Stephen Port, 41, is already accused of drugging and murdering four men he met on gay websites before dumping their bodies near a church.