Continuity mistake: When Betty walks into the house and is surprised see Fred reduced to a small size, there is nothing by Fred on the ground, but in a close-up of Fred, some small stones have appeared.
Continuity mistake: When Wilma picks up the phone to answer the call from the vet, the lead on the phone changes position between shots.
Continuity mistake: Barney is holding a newspaper in his right hand when he rushes over to Fred's house, but in the shot of him standing in the doorway, the newspaper is nowhere to be seen.
Continuity mistake: When Fred tells Wilma that he is stopping inventing at the end of the episode, he pours the remains of the reducing formula out of the window into Dino's bowl and Fred has a glass in his left hand. When he hears Dino at the front door, the glass has gone.
Continuity mistake: When Barney opens the door and sends Fred flying in the mouse hole, there are two large stones outside the hole, but in the next shot there are now three small stones.
Continuity mistake: When Barney and Betty walk into the Flintstones' kitchen for a cup of tea, Barney stops and behind him there is a table with a lamp on it. In the next shot, the table and lamp have disappeared, and there is now a shelf with plates on the wall.
Continuity mistake: When we first see Pebbles playing on the slide near the sandpit, there are stones near the pit. When we see Bamm-Bamm lifting up the slide, the stones are nowhere to be seen.
Continuity mistake: When Bamm-Bamm lifts up the slide that Pebbles is sitting on, there is nothing beside him, but in the next shot a spade appears from nowhere.
Continuity mistake: In the scene when Wilma puts Fred and Pebbles to sleep, the rug that the two beds are on changes colour from light blue to dark blue between shots.
Continuity mistake: When Wilma puts Pebbles and Fred to sleep in their beds, Wilma puts her left hand on Pebbles' blanket, but in the next shot her hand is not there.
Continuity mistake: After the formula explosion in the garage, Fred's face and arms are covered in black marks, but when we see him just seconds later, he is now completely clean.
Continuity mistake: When Fred knocks on the door at Barney's house, the door is initially plain, but when Barney opens the door, it is now made of wood.
Continuity mistake: When Fred goes on the tube to squeeze out some toothpaste, he puts his toothbrush at the end of tube, but the toothpaste he puts on his brush suddenly disappears.
Continuity mistake: When Fred and Barney are at the nurse's desk at the doctor's surgery, Barney is beside Fred when the nurse sees him, but in the shot of the nurse tickling Fred's chin, Barney is missing.
Continuity mistake: When Barney drops Fred off at his home, Fred is standing on the pavement, but in the next shot he is now standing on the grass.
Audio problem: When Barney says "You're about two feet too short" when Fred steps onto the scales, his mouth does not move when he says "short."
Continuity mistake: When we first see Fred and Barney on stage at "The Ed Sullystone Show", the curtain behind them has creases, but in a close-up of the two, it appears completely flat.
Continuity mistake: When Fred sees the small boulder going downwards on the scale, his eyebrows are missing, but re-appear seconds later.
Continuity mistake: When Barney is knocking on the door at Fred's house after seeing an advert in the newspaper, Fred says "I'll get it, Wilma!" and stops near the door. At this point, Fred is well away from the door, but in the next shot he is now standing near the corner of it.
Continuity mistake: When Fred starts shrinking after he has drunk all of the reducing formula, he is holding a mixing bowl in his right hand. When he has fully shrunk, the bowl is nowhere to be seen.
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