Speaking as the mother to fur babies myself, I know dogs are definitely part of the family!
You’re welcome to bring your dog along to a newborn photo shoot if you think they’ll be happy to attend and able to settle relatively well. It’s helpful for me to know in advance, along with the size of dog you’ll be bringing, so I can make sure I’m set up for them to join in some of the pictures. I recommend bringing along a lead, treats, and a favourite toy to keep them engaged, and if you want to bring along a natty bow tie or other outfit, well, I’m certainly not going to object.
Here’s an article you might like – Newborns and Dogs