If they are Norwegian.. the childrens last name would be their fathers name followed with -sen or -datter. For example... the Johnson last name would mean "son of John". The Kvaerstuen might be the farm name from where they came from. Here is a link that explains this a little better. It confused me at first and I had a hard time finding ancestors from Norway. Good luck.
http://www.nndata.no/home/jborgos/names.htm