Aw Ditty - that is adorable. I love the name Sprocket. I have a friend who has two dalmations - one is called Sprocket and the other is Spanner.
Remy had a little mouse, made of faux fur and leather and she, too, carried it everywhere - bed, couch, car, garden etc.
If anyone moved it, or kicked it by accident, they would get the "mutter under the breath" and the "look" and she would immediately go and get it and place it back exactly where she had originally left it.
She also had a weaved, multicoloured ball which a lady in New Zealand sent to her as a gift. That also went everywhere with her but she always had to make two trips!!
I have a photo of her with the two articles in question. I will go and root it out and post it for you.