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Jacinda Ardern, Prime Minister of New Zealand, has recently become the first head of government to give birth while in office since Benazir Bhutto in 1990. Challenge: A POTUS gives birth. A couple of months ago, Tammy Duckworth became the first US Senator to give birth in office--but she was only elected to the Senate in 2016, and it is a little hard to see her on a national ticket before her election as Senator. Anyway, that would be current politics, so let's think of some possibilities from the past.
Yvonne Brathwaite Burke was the first member of Congress to give birth while in office (at the age of 41 in 1973). https://en.wikipedia.org/wiki/Yvonne_Brathwaite_Burke (Her daughter Autumn Burke https://en.wikipedia.org/wiki/Autumn_Burke is now in the California State Assembly.) But I doubt that the Democrats were yet ready to have an African American woman on their national ticket in the 1970s--especially if she was "only" a member of the House of Representatives. Though Yvonne and Autumn might appeal to a lot of voters with photos like this: