The Khaleesi hatches the petrified dragon eggs in Khal Drogo's funeral pyre during season 1's "Fire And Blood," and against the odds, Daenerys survives the inferno with her newly hatched children, emerging from the ashes as the Mother of Dragons.
Daenerys Stormborn of House Targaryen, the First of Her Name, Queen of the Andals and the First Men, Protector of the Seven Kingdoms, the Mother of Dragons, the Khaleesi of the Great Grass Sea, the Unburnt, the Breaker of Chains.