Parker wanted to make a silly face so no one thought he was mean :)
This is Lilly when you tell her to be still. Its some kind of forced smile / frozen pose.
I couldn't figure out why Bray didn't want his picture taken, he thinks of himself as a model. Then I found this and realized he had banished himself after creating this masterpiece. It cam off the table and I already have new seat cushions so I was able to keep my cool.