Hullo, I’m not sure if this was asked before, but here goes: do you think there is a reason as to why no one in Essos was able to hatch dragons while the Targaryens’ were still alive? We know that across the Narrow Sea a) dragonblood still runs strong 2) magic is much more common and less reviled than in Westeros and 3) dragon eggs are still extant, if exceedingly costly. I find it especially odd that no one in Qohor or Gogossos managed it, given the expertise of the latter two in bloodmagic…

1. Dragonblood and the Blood of Old Valyria not the same thing. Dragonriders were an elite within Valyrian society, and almost all of them died during the Doom and the rest not on Dragonstone died thereafter:

“The dragonlords had been gathered in Valyria as was their wont…except for Aenar Targaryen, his children, and his dragons, who had fled to Dragonstone and so escaped the Doom. Some accounts claim that a few others survived, too … for a time. It is said that some Valyrian dragonlords in Tyrosh and Lys were spared, but that in the immediate political upheaval following the Doom, they and their dragons were killed by the citizens of those Free Cities. The histories of Qohor likewise claim that a visiting dragonlord, Aurion, raised
forces from the Qohorik colonists and proclaimed himself the first Emperor of Valyria. He flew away on the back of his great dragon, with thirty thousand men following behind afoot, to lay claim to what remained of Valyria and to reestablish the Freehold. But neither Emperor Aurion nor his host were ever seen again.
The time of the dragons in Essos was at an end.
Volantis, the mightiest of the Free Cities, quickly laid claim to Valyria’s mantle. Men and women of noble Valyrian blood, though not dragonlords, called for war upon the other cities”

2. While magic was more common in the east, it was still less common than it had been. Hence the reports from Qohor of the return of magic with the dragons. 

3. While it’s true that dragon eggs exist, the ones that Dany got were not fresh viable eggs: “the eons have turned them to stone,” as Magister Illyrio says. He got them for her as hugely expensive curios, but it took an act of spontaneous magic which GRRM has described as a miracle to make them hatch.

As for the blood magic angle, I think it takes more than just that – remember, Dany didn’t know blood magic when she hatched the eggs, and it took not just lives but also her presence as a Targaryen and the convergence of the very cosmos.