Our adopted cat has some Siamese in him, and they're known for their "chattiness," which can be cute when we're awake, but definitely not when we're trying to sleep. We're fortunate to have a separate room with another litter box, dry food and water dishes, and "favorite" pieces of old clothing that the cat uses as bedding, and we shut the door at night so we get more peace. As soon as the cat hears us moving around in the morning, though, he "talks up a storm" and we let him join us. In your case, I wonder if the sounds of the dog might also be waking Lima Bean.