Daisy and Tom's daughter is named Pammy. It is hard to imagine Daisy as a mother. She seems so fragile and self-centered to be a mother. When Pammy comes into the room when Daisy and Gatsby are together, it is like a slap in the face to Gatsby. It is like a huge sign being shoved in his face. Gatsby has loved Daisy and wants to try to get her back, but when her daughter comes in, Gatsby realizes that it will be harder to get Daisy back.
Daisy is the type of person that cares too much about society and what it says about a person. Gatsby knows that Daisy will not do anything to lose her position in society. With the appearance of their daughter, Gatsby knows that his chances have been shot. Daisy's attitude towards being a mother is questionable in itself. She says that she hopes that her daughter grows up to be a beautiful little fool, because that is what a woman should be. That right there should have made Gatsby get away as quick as possible, but as we all know, love makes us all do crazy and questionable things.
The name of Daisy and Tom Buchanan's baby is Pammy. I suppose her real name must be Pamela, but in the only place that I can remember seeing her named, she is called Pammy.
The place where this happens is in Chapter 7, kind of early on. Gatsby and Nick Carraway and Jordan Baker are at Daisy's house. Daisy kisses Gatsby and tells him she loves him. Right after that, Pammy comes out. It seems to me that it's sort of a way of saying that Daisy and Gatsby can't have each other -- here comes this proof that Daisy really "belongs" to another man.