Out here in the woodsy farmlands, I've never heard anyone refer to her daughter directly as 'daughter,' and yet the term 'son' is frequently used in the manner all of you mention above.

I don't have a thing to add other than to reaffirm what Nancy wrote above: I've heard the term 'Daughter' used on stage by the parents of characters--and it does have an other-worldly quality to it when spoken.

Once when I was telling someone about my daughter, I slipped in tongue and said, "My Loftan..." In other words, I yielded to preference of her name over the term 'daughter.' However, it came out sounding so stupidly quaint that I made a mental note never to speak that again.