Continuity mistake: When Wilma is trying to help Betty find a part-time job in the newspaper, you can see that there is a light blue cloth at the end of the line, but when we see Pebbles playing with Dino in the next shot, the blue cloth has disappeared.
Continuity mistake: When Betty is talking to Wilma about the job she is doing for the old lady, she chuckles and takes off her wig, but in the next shot the wig is back on her head.
Continuity mistake: When Wilma and Betty are looking at the jobs in the wanted ads, there is a purple cloth between the green and pink cloth on the washing line, but when the two are looking at Dino playing with Pebbles, the purple cloth has disappeared. There's also a basket by Wilma that moves to the end of the washing line.
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