Stockham was platted in 1887 when the Fremont, Elkhorn and Missouri Valley Railroad was extended to that point, but an "Old Stockham" had existed nearby since the 1870s, and the community moved in order to be on the new railroad. The town was named for Joseph Stockham, town trustee. Stockham was incorporated as a village in 1888.
As of the census of 2010, there were 44 people, 18 households, and 14 families residing in the village. The population density was. There were 19 housing units at an average density of. The racial makeup of the village was 100.0% White. There were 18 households of which 22.2% had children under the age of 18 living with them, 72.2% were married couplesliving together, 5.6% had a male householder with no wife present, and 22.2% were non-families. 22.2% of all households were made up of individuals and 16.7% had someone living alone who was 65 years of age or older. The average household size was 2.44 and the average family size was 2.79. The median age in the village was 52 years. 18.2% of residents were under the age of 18; 6.6% were between the ages of 18 and 24; 13.7% were from 25 to 44; 45.5% were from 45 to 64; and 15.9% were 65 years of age or older. The gender makeup of the village was 50.0% male and 50.0% female.
2000 census
As of the census of 2000, there were 60 people, 19 households, and 14 families residing in the village. The population density was 351.8 people per square mile. There were 21 housing units at an average density of 123.1 per square mile. The racial makeup of the village was 100.00% White. There were 19 households out of which 42.1% had children under the age of 18 living with them, 68.4% were married couples living together, 5.3% had a female householder with no husband present, and 21.1% were non-families. 21.1% of all households were made up of individuals and 10.5% had someone living alone who was 65 years of age or older. The average household size was 3.16 and the average family size was 3.73. In the village, the population was spread out with 31.7% under the age of 18, 16.7% from 18 to 24, 20.0% from 25 to 44, 28.3% from 45 to 64, and 3.3% who were 65 years of age or older. The median age was 35 years. For every 100 females, there were 106.9 males. For every 100 females age 18 and over, there were 105.0 males. As of 2000 the median income for a household in the village was $31,250, and the median income for a family was $43,125. Males had a median income of $26,250 versus $0 for females. The per capita income for the village was $9,310. There were 23.1% of families and 37.9% of the population living below the poverty line, including 47.4% of under eighteens and 50.0% of those over 64.
