Also, since Khan's followers in ST2:TWoK are a phenotypically uniform lot of young kids, it stands to reason that they are all children of the Alpha Male and his principal wife...
The question then becomes, was the mother McGivers
Um...no. Even though Khan's followers looked young, none of them were born on the planet.
TERRELL: What do you want with us? Sir, I demand...
KHAN: You are in a position to demand nothing, sir. I, on the other hand, am in a position to grant ...nothing. What you see is all that remains of the ship's company and crew of the Botany Bay, marooned here fifteen years ago by Captain James T. Kirk.
TERRELL: Listen, you men and women, you have a...
KHAN: Captain! Captain! Save your strength. These people have sworn to live and die at my command two hundred years before you were born.