I don't know if you have these census records, but just in case:
1900 Coffee Co., TN:
Carl S. Hansen, age 30, b. Denmark Apr 1870, immigrated 1891, married 1 yr.
Jennie B., age 21, b. TN Feb 1879, 1 child borne, 1 living
Ophelia, age 3 mos, born Apr 1900
Nearby what must be the parents, but almost unreadable:
Hansen, _______, age 60, b. Jan 1840 Denmark
_________, born Dec 1842
_________, male, maybe either Hans C. or Carl V.
1910 Vanderburgh Co., IN:
Carl Hansen, age 40, b. Denmark, immigrated 1893
Jennie, age 31, b. TN
Ophelia, age 10, b. TN
Roy, age 5, b. IN
Helen, age 3, b. IN
Carl (12 mos. I think), b. IN
In 1930 there is a Carl Valdemar Hansen, age 60, widower, b. Denmark, living in St. Louis, MO.Age would not be quite right, but close to Valdemar.He has a son, Carl Valdemar, age 18, b. Iowa, living with him.
Carl S. and wife Virginia "Jennie" are on www.findagrave.com, buried in the Park Lawn Cemetery in Evansville, IN.He died in 1936.You might be able to get an obituary from the local library.