petey the wonder puppy - How Petey Got His Name; with the family sitting around discussing good names for the new puppy. and no one agreeing, i looked him in the eyes and said,' what is your name?' just then the name PETEY poped into my head. i said to the rest of the family,'he says his name is Petey.' and that was that. Petey is half chihuahua and half dachshound. Now some may say that makes him a mutt. i say that makes him a designer dog...a doxywawa.