Continuity mistake: When the man gives Sheriff Craig back his badge, his moustache disappears when Craig is talking to him, but comes back when Craig runs away to pick up his bags.
Continuity mistake: When Sheriff Craig is hiding under the table, he says "But I'm not that sheriff" and you can see part of his feet outside the table. In the next shot, Craig is now completely under the table.
Continuity mistake: When Sheriff Craig is playing poker at the table in the saloon, he is holding his five playing cards with both hands, but the next shot shows him holding the cards with only one hand.
Superstone - S5-E24
Continuity mistake: When Pebbles and Bamm-Bamm are watching "Superstone" on TV, the building pieces in front of them change position between shots.
The Most Beautiful Baby in Bedrock - S5-E10
Continuity mistake: When the Flintstones and the Rubbles are sitting at their table in the pizza parlour, Fred asks Betty if she wants some pizza and you can see there is a large pizza in front of Wilma and Betty, but in the very next shot the pizza has gone.
The Most Beautiful Baby in Bedrock - S5-E10
Continuity mistake: When Wilma is sitting in the car, she asks Fred what's wrong and you can see that he is standing by the car, but in the next shot when Fred says he forgot his car key, there is no sign of the car.
The Most Beautiful Baby in Bedrock - S5-E10
Continuity mistake: When the Flintstones and Rubbles arrive at the Bedrock Theatre to see "Rockeo & Julietta", Fred parks the car in the car park and you can see there is a car next to him when he stops, but in the next shot the car has vanished.
Other mistake: Fred's telephone cord is missing when he and Loudrock are calling their friends about the puppies.
Continuity mistake: When Barney is cutting the hedge with his hedge clippers while speaking to Loudrock, Barney's position changes between shots.
A Haunted House Is Not a Home - S5-E7
Continuity mistake: When Pebbles is watching Wilma bake cookies, you can see that she has a baseball next to her, but when Betty and Bamm-Bamm arrive, we see Pebbles and the baseball has now gone.
Monster Fred - S5-E2
Continuity mistake: When Barney is driving Fred to the doctor after his accident at the bowling centre, you can see that Dino is sitting behind him in his car, but in the shot where Fred says "I don't want to see a doctor!", Dino has disappeared.
Monster Fred - S5-E2
Continuity mistake: When Fred is holding his bowling ball in Alley 13 at the bowling centre, you can see there is a bowling ball rack behind him, but in the next shot the rack has disappeared.
Monster Fred - S5-E2
Continuity mistake: After Fred brakes his car to avoid hitting the black "Catosaurus", Barney's hands can be seen on the front of the car, but they're not on the car in the next shot.
Monster Fred - S5-E2
Other mistake: Fred's mouth doesn't open when he says "Now knock it off!" to Barney in his car.
Pebbles' Birthday Party - S5-E4
Continuity mistake: During Pebbles' Birthday Party, nine dancing girls come out of her birthday cake, but when they perform as a group, there are only six.
Continuity mistake: At the end of the episode, watch the colour of the time-machine inventor's outfit. You can see it's light blue when he pulls the lever, but when he gets the Flintstones and Rubbles back to the fair and asks them what happened, his outfit is a darker shade of blue. It then changes back to its lighter shade as before.
Continuity mistake: Towards the end of the episode when the time-machine inventor pulls the lever on the machine, three lemons appear and he says "Wow, Jackpot!". But in the next shot, when the Flintstones and Rubbles run out of the machine, the lemons have vanished.
Continuity mistake: When Fred pays the man at the hamburger stall 'two rocks', he places the money on the counter. When we see a close up of the money, one rock is behind the other one, but in the very next shot the two rocks are now lying side by side.
Continuity mistake: When the man at the hamburger stall gives Fred his 'brontosaurus burgers', he serves them on a tray, but just a few shots later the tray is nowhere to seen.
Continuity mistake: When Barney shows Fred the circled ad in the newspaper about auditioning for "The Ed Sullystone Show", we see a close-up of the ad and you can see that the circle around the ad is completely different from the one seen in the previous shot.
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