I think that Danerys is Jon's Aunt.
I believe his parents are Lyanna Stark and Raegar Targarian. Danny is the daughter of the mad King Aerys, sister of Raegar.
That is correct
Are the books different than the HBO Series? I recall in the first season when Ned Starks wife, Catelyn Stark describes her heartache over him going off to war and bringing”another woman’s” child home to raise.
Or am I mistaken?