Captain America Fathered Peggy Carter’s Children According to Endgame Writers
Captain America is the father of Peggy Carter's kids in the Marvel Cinematic Universe, according to Avengers: Endgame writers Christopher Markus and Stephen McFeely. Throughout the 22-film story of the MCU, people like Marvel Studios head Kevin Feige and directors Anthony and Joe Russo have received a lot of credit, and rightfully so. The Russos made their mark with a focus on Captain America, as they directed his final two solo films.
Joining them throughout this journey have been Markus and McFeely, who created Agent Carter and have been the writers on the entire Captain America trilogy, Thor: The Dark World, and both Avengers: Infinity War and Avengers: Endgame. Thanks to this long history with the MCU and Captain America, they were the perfect fits to bring Steve Rogers' arc to a close in Avengers: Endgame. They did so by having him go back in time and live out the life he always wanted with Peggy Carter. The implications of this have been debated, as Markus and McFeely disagree with the Russo brothers' explanation.
Their belief is that an older version of Captain America has always been around as the MCU has unfolded, which can be believed given how few details they revealed of Peggy's past without Steve. One of the pieces of information that was included in Captain America: The Winter Soldier was that Peggy had two kids with her mystery husband, and in an interview with THR, Markus and McFeely said that those kids are indeed Steve's.
McFeely: It was always our intention that he was the father of those two children. But again, there are time travel loopholes for that.
Markus: It does introduce the idea that there are two children who have somewhat super soldier DNA.
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Source: THR