Minnesota marriage index:
DOUGLAS County marriages book G - 234
04/22/1902
PETERSON, JOHN O
NELSON, EDITH

He died on their one year wedding anniversary.

https://familysearch.org/pal:/MM9.1.1/FD83-5J3
John Olaf Peterson, "Minnesota, Deaths and Burials, 1835-1990"
Name: John Olaf Peterson
Gender: Male
Burial Date:
Burial Place:
Death Date: 22 Apr 1903
Death Place: Alexandria, Douglas, Minnesota
Age: 29
Birth Date: 1874
Birthplace:
Occupation:
Race:
Marital Status:
Spouse's Name:
Father's Name: Olaf
Father's Birthplace: Sweden
Mother's Name: Martui
Mother's Birthplace: Sweden
Indexing Project (Batch) Number: I09195-0
System Origin: Minnesota-EASy
GS Film number: 2117538

https://familysearch.org/pal:/MM9.1.1/FSG3-WYS
John O Peterson, "Minnesota, Will Records, 1849-1985"
Name: John O Peterson
Titles and Terms:
Event Year: 1903
Event Place: , , Douglas, Minnesota
Schedule Type: Will Books
Source Reference: Will Records Volume L 1902-1918
First Page Number: 43
Last Page: 44
Case Number:
Digital Folder Number: 004406243
Image Number: 74
Number of Images: 2

This is the best match in the 1900 census I can find for his description - born around 1874, Parents born in Sweden, names of parents, and location.
https://familysearch.org/pal:/MM9.1.1/M9S7-526

Name: John Peterson
Event Type: Census
Event Year: 1900
Event Place: Alexandria Township (excl. Alexandria village), Douglas, Minnesota, United States
Gender: Male
Age: 25
Marital Status: Single
Race: White
Race (Original): W
Relationship to Head of Household: Son
Relationship to Head of Household (Original): Son
Birth Date: Feb 1875
Birthplace: Minnesota
Father's Birthplace: Sweden
Mother's Birthplace: Sweden
Household Role Gender Age Birthplace
Ole Peterson Head M 53 Sweden
Martha Peterson Wife F 56 Sweden
John Peterson Son M 25 Minnesota
Carl Peterson Son M 21 Minnesota
Tillie Peterson Daughter F 16 Minnesota

A search for his obituary at the Douglas County Historical society should yield more information.

And maybe this census of 1880 - parents match again.
https://familysearch.org/pal:/MM9.1.1/MZ9Q-Q9N

Name: John Peterson
Event Type: Census
Event Year: 1880
Event Place: Belle River, Douglas, Minnesota, United States
Gender: Male
Age: 5
Marital Status: Single
Race: White
Race (Original): W
Relationship to Head of Household: Son
Relationship to Head of Household (Original): Son
Birth Year (Estimated): 1875
Birthplace: Minnesota, United States
Father's Birthplace: Sweden
Mother's Birthplace: Sweden
Affiliate Name: The U.S. National Archives and Records Administration (NARA)
Affiliate Publication Number: T9
Affiliate Film Number: 0618
Household Role Gender Age Birthplace
Ole Peterson Self M 35 Sweden
Martha Peterson Wife F 35 Sweden
Peter Peterson Son M 10 Minnesota, United States
Christina Peterson Daughter F 8 Minnesota, United States
John Peterson Son M 5 Minnesota, United States
Carl Peterson Son M 1 Minnesota, United States