Continuity mistake: The "Sandy" who Fred challenges at the pie-eating contest is a completely different man to the one who sprayed Fred with water earlier in the episode.
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.
Audio problem: When the man living in Barney's house says, "Yeah, struck it rich in oil years ago!" to Fred, his voice is completely different to the one heard when he opens the door.
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.
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