Belvidere started in 1872 with the building of the railroad through the territory. The settlement was named by an official of the Saint Joseph and Grand Island Railroad, in keeping with the railroad's practice of naming stations in alphabetical order. The name may have been taken from Belvidere, Illinois or from Belvidere, New Jersey.
At the census of 2010, there were 48 people, 24 households and 10 families residing in the village. The population density was. There were 32 housing units at an average density of. The racial makeup of the village was 95.8% White and 4.2% from two or more races. Hispanic or Latino of any race were 2.1% of the population. There were 24 households of which 16.7% had children under the age of 18 living with them, 33.3% were married couplesliving together, 4.2% had a female householder with no husband present, 4.2% had a male householder with no wife present, and 58.3% were non-families. 54.2% of all households were made up of individuals and 20.8% had someone living alone who was 65 years of age or older. The average household size was 2.00 and the average family size was 2.80. The median age was 47.5 years. 22.9% of residents were under the age of 18; 8.4% were between the ages of 18 and 24; 18.8% were from 25 to 44; 33.4% were from 45 to 64; and 16.7% were 65 years of age or older. The gender make-up was 54.2% male and 45.8% female.
At the 2000 census, there were 98 people, 40 households and 21 families residing in the village. The population density was 204.1 per square mile. There were 43 housing units at an average density of 89.6 per square mile. The racial makeup of the village was 100.00% White. There were 40 households of which 30.0% had children under the age of 18 living with them, 45.0% were married couples living together, 7.5% had a female householder with no husband present, and 47.5% were non-families. 42.5% of all households were made up of individuals and 17.5% had someone living alone who was 65 years of age or older. The average household size was 2.45 and the average family size was 3.62. The median age was 40 years. 30.6% of the population were under the age of 18, 6.1% from 18 to 24, 22.4% from 25 to 44, 29.6% from 45 to 64, and 11.2% who were 65 years of age or older. For every 100 females, there were 75.0 males. For every 100 females age 18 and over, there were 78.9 males. The median household income was $26,250 and the median family income was $48,750. Males had a median income of $19,583 and females $17,500. The per capita income was $20,278. There were no families and 7.2% of the population living below the poverty line, including no under eighteens and 18.2% of those over 64.
