I noticed that Miss Piggy seemed really defenseless in the Sherlock Holmes sketch, and then I was reading this thread, and soemthing occurred to me. It seems like Miss Piggy's personality wasn't developed much in the first three episodes. Of course, the writers didn;t plan on having her be a main character untill after the Temptation number, but even then it seems like they didn't develope her personality much untill the fourth episode (even though there was a production break for a few months between the secodn and third episodes).
For the first three episodes, Miss Piggy usually had scenes in At The Dance, but so did many other characters, both major and minor. In the Temptation number, it seems like she had only slightly more personality than the other Glee Club singers. In the Sherlock Holmes sketch, she basically just stands there and doesn't really do much acting. In that same episode, she appears backstage with the other characters who complain to Kermit about Fozzie practicing for his act, but her lines could have been given to almost any character, with the exceptions of Gonzo, Crazy Harry, and possibly Scooter. Her lines could have easily been given to Rowlf, Sam the Eagle, Wayne, Wanda, The Newsman, or Mildred, for example. In the second episode, she karate chops Kermit backstage, but many fans think that scene was filmed later, after her personality was more established.
I think that if the Sherlock Holmes sketch was put in a later episode instead, the maid would have probably been portrayed by someone else, like Hilda, Wanda, or Annie Sue Pig.
I also thought it was weird in the Sherlock Holmes sketch that after Gorgon heap ate all of the evidence, Rowlf instantly assumed that Baskerville was the mruderer, but after baskerville got eaten, Rowlf just thought there was no murder, rather than saying that he mut have been the murderer (though he probably wouldn't admit that), or even assumed that there was a murderer but not in the room. Of course, Rowlf, as Sherlock, might have decided for his own safety to assume there was no murder just so he wouldn't get eaten.