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In fact, Captain America does have some kids in Marvel Comics, although not all of them are in the Earth-616 continuity.
Captain America Has Kids In Other Marvel Multiversal Earths

Captain America has two notable children in the multiverse. One appeared in the What If…? story that asked what would have happened if the Marvel heroes never made it home after the first Secret Wars in 1984. The second was introduced in a Marvel animated movie and was then brought into the comics in Avengers (2010) #1. The What If…? child was a daughter named Sarah, and the Next Avengers child was a son named James.
Sarah Rogers was easily the most confusing child of Captain America because she was supposed to be the daughter of Steve Rogers and Rogue. How Rogue and Steve were able to have a child, considering Rogue’s powers, remains unknown. The one most confusing thing about this world was that Rogue wasn’t called Anna, but was instead called Carol. This might be because it was after Rogue stole Carol Danvers’ powers, and she was now in control of this personality. Whatever the reason, she and Captain America had a daughter.
Sarah grew up to be a superhero of her own called Crusader, and she fought alongside Mustang (She-Hulk and Hawkeye’s son), Firefly (Human Torch and Wasp’s son), Torrent (Wolverine and Storm’s daughter), and Bravado (Thor and Enchantress’s son). They were known as the Battleworld Avengers. This story saw the teenage heroes use a portal to return to Earth, only to find it overrun by Sentinels, and they decided to become that world’s new heroes.
James Rogers is more famous because he was part of the Marvel animated movie, Next Avengers. This was another story about the Avengers kids, with James as the son of Captain America and Black Widow. Torunn was Thor and Sif’s daughter, Henry Pym Jr. was Wasp and Ant-Man’s son, Black Panther was T’Challa and Storm’s son, and Francis Barton is Hawkeye’s son. After their parents died, Iron Man and Vision helped raise and train them to become the next Avengers.
This team crossed over into the Marvel Comics world in Avengers (2010) #1, thanks to Kang and his time-travel shenanigans, and they were officially from Earth-10943. They appeared in two issues of that series and then four issues of Avengers World in 2014.









