More information for you from Esbønderup.
The Nielsen family is in the 1906 census, opslag 35.
The family is in the 1911 census, opslag 20. Only Karen is missing.
The family is in the 1916 census, opslag 43. Only Ludvig and Jenny are at home.
The family in the 1921 census, opslag 27. Only Niels Peter, Ludvig Herman, and Valdborg are at home.
In the 1925 census, opslag 22, I found Niels Peter Nielsen, his wife Karen Sophie Valborg Christiansen, and their children Kristian Helmer and Johannes Martin.
Kristian Helmer Nielsen was born 16 Apr 1922, opslag 14 nr 7.
Johannes Martin was born 26 Feb 1924, opslag 19 nr 5.
In the 1925 census, opslag 26, you will find Hans, Ludvig, and Jenny.
In the 1930 census, opslag 26, you will find Ludvig Herman and his wife Karitha Sophie Nielsen.
Johanne Margrethe Nielsen died on 12 Mar 1924, opslag 214 nr 8.
Hans Nielsen died on 9 Oct 1926, opslag 178.
I hope this helps.