The phrase "baby dragon" refers to a young or small dragon. It is often used to describe something small, cute, or innocent, similar to how a baby dragon would be. Full definition
Perhaps the most interesting character in the whole show (so far) is Daenerys Targaryen, a waif - like girl who journeys from being sold into a political marriage to being a powerful queen and a revered rearer of baby dragons. (premierchristianity.com)