The Home Affairs Select Committee heard that it was once customary for home secretaries to attend royal births to ensure that it was genuine and a child had not been smuggled in.
The Queen is understood to be the last monarch to be brought into the world in front of a home secretary - who at the time of her birth was Conservative Sir William Joynson-Hicks.
Michael Ellis MP, who was chairman of the All Party Parliamentary Group on the Queen's Diamond Jubilee and often contributes to television coverage of royal matters, asked: "Until relatively recently there was a convention that home secretaries attended royal births, I understand this happened with Her Majesty, the Queen.
"Do you have any plans to visit the Lindo wing any time soon, following this convention?"
He added: "I'm being mischievous."
To which, Mrs May replied: "In fact, it is no longer the case that the HS is required to attend a royal birth, but I suspect Mr Ellis with your royal connections you might have more information about these things than I do."
Asked why the home secretary was once required to attend royal births, Mrs May said: "It goes back many centuries... the home secretary had to be there to evidence that it was genuinely a royal birth and that a baby hadn't been smuggled in."
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