Because that Egliette is a doll, so many of her. After the dinner party, when all goes dark, you can pick up a key from the table and enter the secret door ( there you will see a lot of Egliette rag dolls, some torn up ). I have read somewhere that Fleta may carry fakes of Egliette for comfort ( might be the reason some of them in the room were torn off, due Fleta's nature ), although I am not sure if it's true.
Viewing post in Pocket Mirror Classic (2016) comments
Yeah, I completed the game by now and I talked to Egliette in the bonus room where she explains that Fleta has many inanimate copies of her to carry because she doesn't want to be carried all the time but I think this is a lazy excuse because there are times when we literally see Egliette jump from Fleta's arms and we still see her in her arms in her picture and there are also times when the player character parts with her pocket mirror like when she hands it to someone for a moment or put it on the floor to solve a riddle but we still see it in her hand in her picture, I think this is just laziness because the characters use one picture each and they didn't bother to make changes to match the situations.