It's most likely that Katniss named her baby girl; Rue. Because she talks about her through the entire series. And most likely the boy Gale.
In my opinion, I don't think they would name the boy Gale, since of what happened with Prim and all that sad stuff. It just doesn't sound like somehting Katniss would wants, especially since she seems so upset about the whole thing. But it's possible.
I've heard that the Little girl will be named Rue and the boy Haymitch
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It wasn't mentioned in the books it just said how Peeta wanted children really bad and so Katniss and Peeta had kids. Enough said?
Katniss's kids names are never mentioned in the book, but it does say she has tow kids, one boy and one girl.
We are never told the names of her two children. They are only mentioned in the epilogue of Mockingjay, and we are only told that she has a boy and a girl.
There names were never mentioned. However, people believe the boy was named after Finnick, and the girl after Rue and Prim.
Peeta and Katniss Children are presumed to be for the girl either Primrose or Willow, and for the boy either Cinna, Gale or Haymitch.
Peetas dad have gave Katniss cookies.
Peeta and Katniss is Penis or Peetas Kats
When Peeta and Katniss are on the train, Peeta tell Katniss that before he left, his mother came to see him. These were Peetas words:"My mom said 'shes a fighter, that one.' she is! She meant you!"
Well Peeta's father wanted to marry Katniss' mother, but she loved Katniss' father because "when he sang, the birds stopped to listen."
Peeta paints the arena and she doesn't want to be reminded of them because she sees them every night and she would rather forget.