Can you help me find this childhood book please?

I’m going to a baby shower where each guest has been asked to bring their favorite childhood book. I have tried and tried to find my favorite picture book without being able to remember the title and am having no luck at all. Now I’m hoping someone here can help!

I don’t know when the book was originally written, but I was a little kid in the late seventies. The book was about a cat who (I think) was named CatCat. His family also had a dog and a fish. CatCat got into trouble and felt unloved, so ran away or something. When he came home, everyone was happy to see him. I think CatCat belonged to the little girl of the family. This is what I remember of the story, and it might not even be accurate.

If this rings any bells, or anyone has an idea where I might be able to find the title of this book, I’d really appreciate the help! Thanks!