>>9564442B.A.B.Y is an acronym for "Baby Aliens Belonging to You!" It was a very strange line, but you have to understand that the 80's was riding high on a sci-fi wave due to Star Wars, the rise of computers, and the space shuttle.
Anyway, each Alien baby had names like FEEDMEPLEEZ or HARZAMESS or MAKEUMSMYL. They each came with a unique accessory that you could use to fic their unique problem. So HARSAMESS would come with a brush. You don't really see this kind of thought or energy put into many girls toys anymore.