The Runaway Princess by Kate Coombs 279 p.

Princess Meg is not at all interested in being married off by her father the king to any prince who meet his requirements, so her father locks Meg up in a tower. The spunky and clever princess promptly escapes and stays one step ahead of her suitors by rescuing a baby dragon, warning a witch,  befriending the troupe of bandits, and saving her father's kingdom.