Continuity mistake: The "8" on the side of Fred's car keeps changing style throughout the race sequence.
Continuity mistake: When Fred drives his car the wrong way during the race, there is an "8" on the back of the car when he squeezes his way through two cars, but in the next shot the "8" has disappeared.
Continuity mistake: When we see a close-up of Fred's car during the race, you can see there are two cars in front of him and there is nothing behind him, yet in the next shot he is being passed by a purple car.
Continuity mistake: When we first see Fred's car at the Indianrockolis 500, the car has nothing on the side of it, but when we see the car at the start of the race, a number "8" has suddenly appeared.
Continuity mistake: When Wilma is shocked to see Fred on the television, you can see behind her there is a window and curtains, but when we see Wilma in the next shot, the window has disappeared.
Continuity mistake: When we see Fred and Barney singing "Doo Dah" in the car while on their way to the track, Barney is sitting in a single seat, yet a close-up shot shows him sitting on a longer seat.
Continuity mistake: When we see Fred and Barney in the car on their way to the track, Fred's front seat is missing.
Continuity mistake: When Fred goes past Wilma into the living room to watch TV, he has a fish sandwich and is carrying a tray with a drink and a bowl of snacks on it. When he is watching TV, the bowl of snacks is nowhere to be seen.
Continuity mistake: When Fred drops the tyre on his foot, he hops around in pain and you can see that Barney is holding the tail on the turtle. When Fred says, "Now you tell me!" we cut back to Barney, and the turtle has gone.
Answer: The name of the pet is "Baby Puss." He has appeared in episodes, but only a very few. The first episode was probably "The X-Ray Story" from season 2.
Bishop73