The book is written by Michael Andrew Fox and is the third in a series of books from Petimals Books. The first two books are Dogopotamus and Hamstigator.
The series revolves around a young boy, Coby, who really wants his parents to get him a pet. But he doesn't want anything to do with 'normal' pets, so he goes about inventing his own.
This book was a huge challenge considering the main character is meant to be a cute kitten with the features of an elephant. No cute little kitty nose- instead an elephant's trunk. No adorable paws- instead elephant feet. I went through so many iterations of this character before finally feeling like I got him right.
My daughter seems to think I got it right:
For fun I created an animated GIF of Elephitten:
And here are some additional illustrations from inside the book:
You can pick up Elephitten HERE.