Sorry, Manuel, this is not very likely.
The names you mention, ending in -son or -dotter are examples of the patronymic system used in Scandinavia for longer than most other European countries.
It simply works like this: a son of a man named Abraham would be called Abrahamsson - Karl Abrahamsson, or whatever - and a daughter of Abraham would be Abrahamsdotter (dotter=daughter). Then Karl Abrahamsson's sons would be Karlsson - the eldest probably would be Abraham Karlsson.
So these were not family names inherited from generation to generation in Christine Abrahamsdotter's time, or for a few hundred years after that.
Only in the course of the 19th century the patronymic system was slowly abandoned in Sweden. People adopted family names - many like Lindblom or Nordström. But also many people adopted -son names (not -dotter names) as their family name.