Continuity mistake: When Betty is combing Wilma's hair, the items on the dressing table next to Wilma change position between shots.
Continuity mistake: When Fred and Barney are singing "Old MacDonald" with the international scouts, the groups' signs aren't consistent. At first, they have the names of the countries, but later on they have the names of the languages.
Continuity mistake: While Fred and Barney are fighting, when Pebbles and Bamm-Bamm are devising a plan together in baby-talk, the black strap is over Bamm-Bamm's left shoulder, but when Bamm-Bamm walks past Fred and Barney the strap is over Bamm-Bamm's right shoulder. (00:22:55)
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