She gives as her reason: “The reservoir of names from which parents could have chosen their children’s names was small and therefore the chance of choosing these names was higher, and increased as other names were already taken in the family.”

I am not sure I understand what she is saying. In fact, Professor Fuchs did take this problem into account. He specifically stated: “It is important to note that, since we assume that no two brothers in the family bore the same name, the probability of a child being given a certain name depends on the name given to the previous born male offspring in the family.”