I notice that as Lily-Rose Melody Depp got older Johnny stopped carrying her around. There was only the one picture of her with him carrying her and some when she was younger with even her mom carrying her.
I saw no pictures of Tim Burton trying to carry Nell. She did sit on his lap when he was reading the paper, facing him. I was sad though that he hasn't been carrying around his daughter evidence says. It's too late for before but not too late for now.
Also, I didn't see many pictures of Tim Burton's wife carrying Billy, just a couple, anymore. I did see some of Johnny Depp's wife carrying their son Jack.