I think she is more of an extended princess. Not a princess in Disney's opinion and she is not royalty but she is wife to the king of the jungle. I think she counts as a leading lady and extended princess like Esmeralda, Kida, and Meg.
Jane is not a Disney Princess. She isn't royalty, she doesn't have a song she sings, and she just isn't counted as an official princess. I supposed she could be an extended honorary princess, but she isn't official