Would you please post a transcription of the 1916 Danish census to which you refer? I don't see it immediately as I search. That's an important census! You want to find descendants - and that census represents the last known whereabouts of some members of the family.
Here is a summary of what you have stated or what volunteers have found.
Hans Peter Hansen was born 24 July 1874 in Denmark, according to his death certificate. You believe he immigrated to the USA in 1890 at age 16 (SOURCE?), returned to Denmark (SOURCE?), and immigrated again in 1892. A passenger manifest for ship Hekla arriving 22 October 1892 in New York shows passenger Anton L Christensen, occupation smith, destination Nebraska (found on Ellis Island website). His death certificate 1947 states he had been in the USA 51 years, which would make his date of immigration 1896.
His death certificate states his father's name is unknown. His mother's name is given as Ellen Christensen.
In a search by a past president of the Danish Brotherhood Lodge #78 in Salt Lake City, Utah, the only boy found in Denmark born on his birth day with a mother Ellen is Anton Laurits Christensen. We had a family story that his birth name was Christensen. Therefore we believe this Anton Laurits Christensen to be my grandfather - the birth name of Hans Peter Hansen.
He went to Utah. He fought in the Spanish American War (per VA Hospital Record). His position was Farrier (which fits with his death certificate states he was a blacksmith.)
On 02 September 1901 he married Marie Nicoline Hansen (1882-1957). Lived in Salt Lake City, Utah, and worked as a farrier on the Denver-Rio Grande Railroad, then at a brickyard (SOURCE?).
CHILDREN Edgar Walter Hansen b 1902; Axel Niels Hansen b 1904; Clarence (1908, died as a baby); Elmer Hugh Hansen b 1915; Vern Anton Hansen b 1919. (SOURCE: US Census). The family is found in the US Census as follows:
1910 Salt Lake, Utah Hans P Hanson34 Marie Hanson 27 Edgar W Hanson7 Axel N Hanson 6
The family is also in Salt Lake in 1920, 1930, and 1940.