It should be noted that the age of Daenerys Targaryen differs both in the original book and the HBO series. In the first book, she was said to be 13 years old, but it was changed to 15 years old in the HBO series.
Daenerys Targaryen goes by the title Daenerys of the House Targaryen, the First of Her Name, The Unburn, Queen of the Andals, the Rhoynar and the First Men, Queen of Meereen, Khaleesi of the Great Grass Sea, Protector of the Real, Lady Regnant of the Seven Kingdoms, Breaker of Chains and Mother of Dragons. She is the sister of Rhaegar and Viserys Targaryen, and it was revealed in Season 7 that she was the aunt of Jon Snow or Aegon Targaryen.