For my games, the only things that are set in stone are the original relationships, pregnancies and children. For example, in all my games, the Landgraabs will have Malcolm as their child, Justine will be pregnant on day two and Thornton and Jamie will flirt together.
But after that, everything becomes random. Sometimes, on free-will, I've had Thornton have kids with Jamie, once he had three kids with Morgana, and in another game he ended up being Agnes' fiance.
I've never seen any of the kids named the same thing, even if they have the same parents as other games.
So I believe after the first day or two that the game has set up, it deals out completely random outcomes.
By the way, your English was very good and easy to understand, so no need to worry
