I have researched the Brandval/Grue parishes of
Hedmark fylke, Norway and there seems to be some confusion with the data you presented.
Arne
Gudmundsen of Østre
Berger, born 13 Feb 1810, baptized 25 Feb 1810 (parents Gudmund
Gudmundsen and
Marte Olsdatter), had no sons. With his wife
Marte Larsdatter (married 1845, he from
Berger, she Gullik from Vinger), he had 2 daughters: Anne
Mari born 13 May 1845
Berger Østre and Maren born 6 Feb 1849 Østre
Berger. Marte
Larsdatter died 1852 and
Arne did not remarry. He is found in the 1865 Brandval census with daughter Maren. If
Arne Gudmundsen immigrated, it was after 1865.
The only
Ole Arnesen I could find in the Grue/Brandval church film indexes with a birth year of 1862 was born 28 Jun 1862, baptized 20 Jul 1862 on Rolstadbråten (Brandval parish) to
Arne Gudmundsen and
Marte Olsdatter. His father,
Arne Gudmundsen was born in 1824 on Rolstadsagen.
I'll take a look at
Ole Arnesen's wife, Thea Randine Hokåsen born 28 May 1844, baptized 23 Jun 1844 whose parents were
Ole Olsen and Ragnhild Eriksdatter and see if I can find out any information to straighten out the confusion.