Hi Sofia,
I didn't find Frans and Maria. However, this seems likely to be your Axel Edward Holmgren:
1900 Census
Dwelling and Family 52, District 96, MeCrea, Marshall County, Minnesota
Holmgren, Axel Head f. March 1867, age 33, married 7 years, Born in Sweden, both parents born in Sweden, Naturalized, immigrated 1885, occupation Farm laborer
Maria, wife f. Feb 1869, age 31, married 7 years, mother of 2, 2 living, Born in Denmark, both parents born in Denmark, immigrated 1871
Clara daughter born June 1894, age 5, born in Minnesota
Victor son born Dec 1896, age 3, born in Minnesota
1910 Census
Main Street, Dwelling 109, Family 119, Warrenton Township, Marshall County, Minnesota
Holmgren, Axel, head, age 43, marriage 1, married 17 years, born in Sweden,both parents born in Sweden, immigrated 1885, Naturaized citizen, speaks English, occupation- bartender in a saloon.
Mary, wife, age 43, marriage 1, married 17 years, mother of 4, 4 living born in Demark, both parents born in Denmark, immigrated 1870,
Clara daughter, age 15 born in Minnesota
Victor son, age 13 born in Minnesota
Gustaf son, age 9 born in Minnesota
Eva B. Daughter age 5, born in Minnesota
1920 Census
Main Street, Dwelling 228, Family 248, District 82, Warren township, Marshall County, Minnesota
Holmgren, Axel head, owns his home, age 52, immigrated 1885, naturalized in 1891 born in Sweden, occupation protietor of livery rooms
Mary M. wife age 50, immigrated in 1871, naturalized, born in Demark,
Menzel, Clara M daughter age 25 divorced, born in Minnesota, occupation none
Holmgren, Gustuf A. son, age 19, born in Minnesota, occupation none
Holmgren, E. Bernice daughter age 15, born in Minnesota, occupation none
Menzel, Kernick C. grandson age 5 born in Minnesota
Horace A. grandson age 3 8/12, born in Minnesota
1930 Census
Graft Avenue, Dwelling 286, 294 District 56, Warren, Marshall County, Minnesota
Holmgren, Axel, head renting age 63, 25 years old when married, born in Sweden, immigrated in 1885, naturalized, occupation waiter in a lunch room
Mary M. wife, age 61, age 23 when married, born in Demark, immigrated in 1872, occupation none
Bernice E, daughter, age 25, born in Minnesota, occupation stenographer in Auditor's Office
Regards,
Laura