Continuity mistake: When Fred and family start their drive toward Jellyrock Park, the trailer has one window and a door on its right side (behind Wilma's side of the car), but when they reach Jellyrock that side of the trailer now has two windows and the door is gone. (00:11:50)
Revealing mistake: While Grandma Dynamite is on the roof sending smoke signals, Sonny is standing in the tree. When Sonny starts laughing we can see the bottom of his jagged clothing is now a mere straight line and his legs have vanished. (00:16:45)
Continuity mistake: Fred is on a ladder lighting a candle - the top legs of the ladder are rounded. He falls from the ladder. The top legs are now square. (00:07:15)
Continuity mistake: While sitting down at the celebration dinner, Wilma has a blue dress and Betty has a white dress. When they get up and walk away from the table, they've swapped colours.
Continuity mistake: When Fred and Barney are driving their car through the One-Way tunnel, the edge around the hole at the back of their car is smooth, but when Barney turns right to go through a tunnel, the edge is now torn.
Continuity mistake: When Fred and Barney discover that the football match on TV has been postponed, we see an interviewer sitting at the desk and you can see there is a nameplate saying "T.V." in front of him, but when the interviewer introduces Eppy Brianstone in the next shot, the nameplate has disappeared.
Continuity mistake: When Fred carries a plate of sandwiches to watch the football on TV, the TV channel knob has nothing around it, but when Fred switches on the TV to watch the football, there are now dots around the knob.
Continuity mistake: When we first see the Flintstones' house at the beginning of the episode, the handle is on the left-hand side of the door, but when Dino walks out of the house after Fred tells him to play outside, the handle is now on the right-hand side.
Continuity mistake: When Fred and Barney arrive at the Rockland Club, they park their car right in front of the front door. When Betty and Wilma arrive, they park their car in front of the door and Fred and Barney's car has disappeared.
Continuity mistake: When Barney asks Fred if he could have 25 cents for a sandwich whilst practising their ventriloquism act for "The Ed Sullystone Show", you can see Barney has his left arm on his knee, but when we see a close-up of Fred in the next shot, Barney's left arm is missing.
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