Bilbo did not blame Thorin in the slightest for his having woken up -- it was just part of his new life now. After living with the Dwarves for so long, then living with Thorin upon their arrival in Madison Valley -- he had become attune to anything and everything Dwarf.
Especially their footsteps and the possibility of danger due to their footsteps.
He did not believe it to be Thorin's fault in the slightest.
"It is not the time to be sleeping, then," he decided. He shifted positions on the couch, and motioned for the Dwarf to join him. "Are you hungry?" he asked. He was usually hungry, though he knew he was often hungry more than Thorin was. "We can go to Homebrew or something and have dinner," he suggested.