There is a series of books by Alexandra Day, about a dog, (a rottweiler), named Carl and a baby. My youngest daughter absolutely loved these books. They have very few words in them, but the illustrations are gorgeous.
The books all center around the adventures that the baby and the dog have. Usually, as soon as the mother leaves, or turns her back, the baby climbs onto Carl's back and they get into all kinds of fun.
My daughter enjoyed these books from the time she was very, very young. The fun part was making up the story and dialogue, and she would know if I strayed too far from what I had made up the night before.
The first book in the series is called, Good Dog Carl. There is a Christmas one that was a favorite, also.