[Boaz]

Shack, there were some lands in close proximity to KL that did not bend the knee to any great lord except the King. I think they're called the Crownlands.

I think this area are the lands between KL and the mouth of the Trident, east of Harrenhal, and yet probably not the penninsula north of Dragonstone... but I could be wrong.

Some of this info comes through in Brienne's chapter where she adventures with Nimble Dick or Septon Meribald. If I recall correctly, the locals were descendents of the First Men who had resisted Andal expansion, but they bent their knees quickly to the dragons. Nimble Dick said something to the effect of "We're all good dragon men around here."