Yes, "Snow White and the Huntsman" and "The Huntsman: Winter's War" are connected as they are part of the same film universe. "Snow White and the Huntsman," released in 2012, introduces the characters of Snow White and the Huntsman, played by Kristen Stewart and Chris Hemsworth, respectively. "The Huntsman: Winter's War," released in 2016, serves as both a prequel and a sequel, focusing more on the Huntsman's backstory and his encounters with the Ice Queen, played by Charlize Theron and Emily Blunt.

"The Huntsman: Winter's War" received mixed reviews from critics and audiences. While some praised its visual effects and action sequences, others felt the plot was lacking and the characters underdeveloped. The film serves as both a prequel and sequel to "Snow White and the Huntsman," focusing on the Huntsman, played by Chris Hemsworth, and his battle against the evil queen. If you enjoy fantasy action and are a fan of the original film, you might find it entertaining, but it may not appeal to everyone.

In "The Huntsman: Winter's War," the baby in question is a young girl named Freya, who is raised by her sister, Queen Ravenna. After a traumatic event involving loss and betrayal, Freya develops ice powers and becomes the Ice Queen. The story revolves around her conflict with her sister and the Huntsman, Eric, as they try to stop Ravenna's evil plans. The baby, representing innocence, transforms into a powerful character as the plot unfolds, ultimately leading to her redemption and the resolution of family conflicts.

"The Huntsman: Winter's War" is not a direct part 2 or sequel to "Snow White and the Huntsman," but rather a prequel and spin-off. It explores the backstory of the Huntsman, Eric, and the evil Queen Ravenna's sister, Freya. The film delves into themes of loyalty, love, and betrayal, while connecting to the first film's narrative. It features returning characters played by Chris Hemsworth and Charlize Theron, alongside new characters portrayed by Jessica Chastain and Emily Blunt.