How old is your daughter?
The neighbor's daughter has become a university student.
Polite form of address for a young woman, especially one from a respectable family. Can be used directly when speaking to her.
Miss, are you looking for something?
That young lady is very kind.
Mr. Tanaka's daughter is a university student.
The store clerk addressed her as 'young lady'.
How is your daughter doing?
お嬢さん is the polite/honorific way to refer to someone else's daughter, whereas 娘 is the plain, neutral term (often used for one's own daughter).