Yes. Please come to the Lag meeting in La Crosse in August.
I found your family in the Nes Bygdebok Del 4 on pages 188 thru 191. This book will be at the meeting. Also, there is a book called Nes og Helgøya Utvandring dated 2002. In the back of this book is the dates and names of emigrants from Nes, Hedmark, from 1846 to 1921.
Nes Bydgebok verifies the information listed above. If you wish I could add additional information to the above. Nes Bygdebok is in Norwegian so I am mostly giving dates and names. It has the parents to Lars Olsen and Anne Marie Larsdtr, Wilhem's parents.
The family presently living on the farm Linnerud are descendants of the foster child, Martinius Berntsen. If you want those names, I will have to e mail you privately.