Continuity mistake: In the scene where Mr. Slate asks his employees to gather round for a group photo, Fred decides to liven up the situation by giving Sandy a 'hot foot'. When Mr. Slate takes the photo, Fred is lighting the match on Sandy's foot, but the picture that comes out of the camera shows him not lighting the match at all.
Continuity mistake: When Barney puts down the telephone and says "Could it be Fred Flintstone after all these years?", the receiver vanishes shortly before the scene changes.
Continuity mistake: Outside the windows of the house of Julia's friend it is daytime, but outside her front door it is night.
Continuity mistake: When we first see Eddie the radio announcer, his hair is blonde. But later on in the episode, his hair changes to a reddish colour.
Continuity mistake: When Fred and Barney are driving home in Fred's car, the hole in the back of the car changes shape between shots.
Continuity mistake: When Wilma and Betty are watching "Shinrock" on the TV, the camera cuts to Pebbles and Bamm-Bamm and the rug they are sitting on is covered with building blocks. Later on, when the two are trying to dance the "Pterodactyl", the rug is completely clear.
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