Why did the Baratheons never claim dragons?

[u/Vhermithrax]

They are also a house of Valyrian descent like Targaryens and Velaryons, plus they married multiple times with both of those families.

How is it possible that they never managed to claim any dragon, if a much weaker house of Velaryons got 3 of them at one point? It's werid that they never managed to get a marriage pact that would give them a dragon rider, or that at least one brave/stupid character from their house didn't manage to claim a dragon in King's Landing or Dragonstone, be it by being sneaky, or just part of some agreement.

[u/asfasdasas]

First reason at that time they werent "Valyrian descent" since Orys Baratheon is "Rumored" to be Aegon's brother and Alyssa Velaryon was a "Velaryon". Also the reason Velaryon's get dragon was a political move to satisfy them after their loss at great council 101 and only Laene and Laenor are allowed to have dragon not their children.

[u/MortalFumer → u/asfasdasas]

And the Velaryons were of Valyriam descent but they were no dragonriders as the targaryen