The family probably on the 1875 census:
http://www.rhd.uit.no/folketellinger/ftliste_e.aspx?ft=1875&knr=0216&kenr=002&bnr=0030&lnr=00
Census year: 1875
Municipality: Nesodden
Municipality number: 0216
Name of domicile: Haukemyr
Number of persons in this domicile: 4

--------------------------------------------------------------------------------

Name Family status Marital status Occupation Birth year Place of birth Ethnicity
Anton Hansen hf g Husmand med Jord 1827 Rygge Præsteg.
Karen Hansen Hans Kone g 1822 Næsodden
Hans Antonsen s 1860 Næsodden
Karl Johan Antonsen s 1863 Næsodden

The above record shows the father Anton Hansen is from Rygge Parish, born about 1827. The cemetery record says born 1832. The 1900 census shows that Anton Hanson is 68, so born about 1832.

Birth of Karl Johan Antonsen's brother Hans:

name: Hans Adolf Antonsen
gender: Male
baptism/christening date: 25 Aug 1861
baptism/christening place: NESODDEN, AKERSHUS, NORWAY
birth date: 17 Jul 1861
father's name: Anton Hansen
mother's name: Karen Helene Hansdr
indexing project (batch) number: C42800-2
system origin: Norway-VR
source film number: 278169

Other children for this couple:
Mikael Korinius Anthonsen
Norway, Baptisms, 1634-1927
birth: 17 Jul 1858
christening: 22 Aug 1858 NESODDEN,​ AKERSHUS,​ NORWAY
residence: 1858 Nessoden,​ Akershus,​ Norway
parents: Anthon Hansen,​ Karen Helene Hansdr

name: Karl Johan Antonsen
gender: Male
baptism/christening date: 09 Oct 1864
baptism/christening place: NESODDEN, AKERSHUS, NORWAY
birth date: 06 Sep 1864
father's name: Anton Hansen
mother's name: Karen Hansdr
indexing project (batch) number: C42800-2
system origin: Norway-VR
source film number: 278169

And a child who died at birth:
name: Antonsen
gender: Male
baptism/christening place: NESODDEN, AKERSHUS, NORWAY
birth date: 20 Jul 1857
death date: 20 Jul 1857
father's name: Anton Hansen
mother's name: Karen Hansdr
indexing project (batch) number: C42800-2

Here is the emigration of the family form Oslo (then called Kristiania) Norway, in 1882, as the census records said.
Details: Registering to leave Oslo April 26, 1882, leaving Oslo on the ship Angelo, April 28, 1882, from Nesodden (Næsodden) Akershus county, Norway. Going to Alexandria (Minnesota) The two sons are listed first, Hans A. Antonsen age 20, and Johan Antonsen (also knows as Carl Johan Antonsen, age 17, then the mother, called Karen Antonsen, married age 56, and finally the father Anton Hansen, married laborer, male, age 51.

http://digitalarkivet.uib.no/cgi-win/webcens.exe?slag=visbase&sidenr=27&filnamn=emikra1&gardpostnr=49148&merk=49148#ovre

49145 1882 427 15 3663a 1 26.04.1882 28.04.1882 Hans A. Antons. Arb m 20 Næsodden Alexandria N. Peterson (M) Angelo Betalt R.
49146 1882 427 16 3663b 26.04.1882 28.04.1882 Johan Antons. Arb m 17 Næsodden Alexandria N. Peterson (M) Angelo Betalt R.
49147 1882 427 17 3663c 26.04.1882 28.04.1882 Karen Antons. g k 56 Næsodden Alexandria N. Peterson (M) Angelo Betalt
49148 1882 427 18 3664 1 26.04.1882 28.04.1882 Anton Hans. g Arb m 51 Næsodden Alexandria N. Peterson (M) Angelo 218 80