For 10 points, name this house which lived through the Doom of Valyria, the Dance of the Dragons, the Blackfyre Rebellions, and Aegon's War of Conquest, and saw the birth of Danaerys Stormborn.
A cadet branch of this house claimed the throne but was defeated in a series of rebellions. This house came into its throne via a conquest which started with a landing at the mouth of the Blackwater, later the site of their capital. One battle in that conquest saw the destruction of Harrenhal by Balerion the Black Dread. For 10 points, name this house which lived through the Doom of Valyria, the Dance of the Dragons, the Blackfyre Rebellions, and Aegon's War of Conquest, and saw the birth of Danaerys Stormborn.
A cadet branch of this house claimed the throne but was defeated in a series of rebellions.
House {Targaryen}