Aad/Aud/Odd is a common first name in Norway. More information is needed to locate the family in Norway.
According to the 1900 census for Oak Gulch, Day county, South Dakota, the family arrivd in the US in 1892:
John Audsen, born Mar 1860
Karen Audsen, born Oct 1863
Carl J. Audsen, born May 1885
Josephine Audsen, born Jul 1887
The 1910 census confirms that the family arrived in 1892.
I suspect that Karen's last name may have been "Håland". There are many places with that name. It could very well come from Rogaland (near Stavanger).