It appears the family I found in the 1870 Census was the correct one:
The 1870 Census for Barre, LaCrosse County, Wisconsin, enumerated 28 July
Ole Gufusen (transcribed as Gususen), age 33, born in Sweden
Usuol, age 34, born in Sweden
Idabel, age 11, Sweden
Anka, age 9, Sweden
Anna, age 7, Sweden
Gustaff, age 3/12. born March 1870 in Wisconsin.
The 1880 Census of Scotia, Greeley Co, Nebraska
Ole Jefferson, age 42 (1837/1838), born in Sweden, farmer
Ula, 43 (1836/1837), Sweden
Aggie, 16, Sweden
Gustave, 10, Wisconsin
Alice, 6, WI
Lewis, 3, WI
The 1885 Census of Nebraska, in Cedar Valley, Greeley Co.
Ole Jefferson, born about 1838 in Sweden
"Druzella"(as transcribed, written "possibly" as Urizella), born about 1840 (again it appears the person counting (enumerating) persons did not understand her name or age.
Gustave, born about 1870, Wisconsin
Ellis, about 1874, in Wisconsin (Spelling was incorrect, also shown as a son)
Louis, about 1877, WI (Spelling was incorrect or in the 1880 Census).
The 1900 Census of Burro Canyon, Las Animas County, Colorado
Ole Jefferson, born June 1837 in Sweden, immigrated 1867/Naturalized, married 41 years (1859/1860)
Julia, born Oct 1836 in Sweden, immigrated in 1869/Naturalized (Based on her husband being Naturalized), mother of 9/4 living
The 1910 Census of Platte, Adams County, CO, enumerated 17 May
The Denver County Poor Farm.
Ole Jefferson, age 73, born in Sweden, immigrated 1867.
The 1920 Census of Fraser, Grand County, CO.
Lewis Jefferson, 42, born in WI
Julia, Mother, age 83, born in Sweden, immigrated 1869.
I found one family tree with Ole and Ula owned by "sstanish56." He does not have much information about Ole/Ula and children, but he does show several generations of Gustaves. I sent a message to the owner to read this thread of postings.
--Gustaves married an Iva Massie(maiden name?) Jefferson, born 1878 in West Virginia. They had two sons:
Ollie Sam Jefferson, born 5 Nov 1896 in Lewisville, Colorado; died 21 Jan 1978 in Longview, Cowlitz County, Washington State. Ollie Sam married Amy and had a daughter and two sons, (I find in the 1940 Census, living in Superior, Sweetwater County, Wyoming: Ollie S, age 43, Amy 43[born in Illinois], Donna, age 10, Keith age 9 and Robert age 6)
Ollie Keith Jefferson, born 1931, married on 8/10/1952 to Patricia Ann Ledder (WA Digital Archives: http://www.digitalarchives.wa.gov/Home
image (his brother and sister were witnesses): http://media.digitalarchives.wa.gov/WA.Media/jpeg/C21E5D1F7A...
Ollie Keith Jefferson had a son, same name, as found in the King County records. He was living in Seattle as of November 2010. I can not find a telephone number (land line, most persons are going to cellular telephones for all communication). Patricia Ann Jefferson, wife of Ollie Sr. is still alive. It also appears Ollie Keith is still alive.
Ollie S and Amy are buried in the Little Falls Cemetery, Vader, Lewis Co, WA:http://www.findagrave.com/cgi-bin/fg.cgi?page=gr&GSln=je...
Click on Amy's name for her info.
There appears to be quite a few descendants