“This isn’t really about taking babies into chambers but the lack of maternity cover for MPs, which means MPs need to keep doing their jobs while raising very small children,” Ms Creasy said.

“But the lessons from other legislators are worth investigating, rather than confirming the idea that motherhood must always be about misery. I hope that Parliament will look to its peers and ask if there are lessons to be learned.”

Sir Lindsay has asked the cross-party procedure committee to examine the rules and whether changes are needed, telling MPs week it was “extremely important” that parents can fully participate in parliamentary work.

Earlier this week, Ms Creasy tweeted a photograph of an email addressed to her, apparently from the private secretary to the chairman of ways and means, reminding her of the rules of behaviour and courtesies in the House of Commons, which were updated in early September.

The rules state that an MP “should not take your seat in the Chamber when accompanied by a child”, with the email telling Ms Creasy this also applies to Westminster Hall. It came following her appearance in the hall on Tuesday with her three-month-old son, who is breastfeeding.

“Mothers in the mother of all parliament are not to be seen or heard it seems,” she posted In another post, she urged support for a campaign to get more mothers involved in politics.