Farm name?

[Traci]

I am looking for my ggrandfather his full name was Per Ersson-Rosén, or Mats Per Ersson. Can someone explain the Mats and the Rosén part of his name. Is this a farm name? I have been told his wife's father was Annamats Erik Olsson and also Gastgifvar Erik Olsson. I am confused as to the naming practices. Is Annamats a farm name or is Gastgifvar? Thanks for explaining this to me.

[Sam Blixt]

Hi Traci,
 
The name Annamats shall be Anna Mats and is two names. The first, Anna is a girl's name and the second, Mats it a boy's name. In Dalarna, a county in Sweden, it sometime was common that there can be a girl with the name Anna Mats Erik Olsson, in spite that both Mats and Erik is boy's name.
 
Gästgifvare is a profession for the proprietor of an inn.
 
Regards/Sam Blixt/Oskarshamn

[Eva Leksell]

As exactly the same question is put in another discussion - Naming practices - I will place my answer there (and that is where all other answers should be placed, so this discussion can be closed).