In episode eight of "House of the Dragon," King Viserys meets two new grandsons, Aegon and Viserys. Rhaenyra is also pregnant with a third child. Though the children will ultimately have roles to play in the war to come, for now, they are very young. Like his uncle Aegon, Rhaenyra's son Aegon is named for the first king of Westeros. Both boys had dragon eggs placed in their cradles, and Aegon's egg hatches into the dragon Stormcloud. Viserys's egg does not hatch. Both boys will eventually rule over the Seven Kingdoms together after the war, but it's a long road to that point.
At the start of episode 10, Rhaenyra gives birth to her third child with Daemon, going into an early labour when she learns her father has died and her half-brother crowned. In the books, the baby is named Visenya, though her name is never said on the show. The baby is stillborn and they hold a funeral for her shortly after her birth.