Aldrich was laid out in 1885 when the railroad was extended to that point. The community has the name of one Mr. Aldrich, a railroad employee. A post office called Aldrich has been in operation since 1886.
As of the census of 2010, there were 80 people, 34 households, and 21 families living in the village. The population density was. There were 43 housing units at an average density of. The racial makeup of the village was 96.3% White, 1.3% Native American, and 2.5% from other races. Hispanic or Latino of any race were 2.5% of the population. There were 34 households, of which 32.4% had children under the age of 18 living with them, 50.0% were married couplesliving together, 8.8% had a female householder with no husband present, 2.9% had a male householder with no wife present, and 38.2% were non-families. 29.4% of all households were made up of individuals, and 8.8% had someone living alone who was 65 years of age or older. The average household size was 2.35 and the average family size was 3.00. The median age in the village was 48 years. 25% of residents were under the age of 18; 2.6% were between the ages of 18 and 24; 16.3% were from 25 to 44; 42.6% were from 45 to 64; and 13.8% were 65 years of age or older. The gender makeup of the village was 48.8% male and 51.3% female.
2000 census
As of the census of 2000, there were 75 people, 32 households, and 20 families living in the village. The population density was 463.8 inhabitants per square mile. There were 41 housing units at an average density of 253.6 per square mile. The racial makeup of the village was 94.67% White, and 5.33% from two or more races. Hispanic or Latino of any race were 1.33% of the population. There were 32 households, out of which 21.9% had children under the age of 18 living with them, 65.6% were married couples living together, and 34.4% were non-families. 31.3% of all households were made up of individuals, and 9.4% had someone living alone who was 65 years of age or older. The average household size was 2.34 and the average family size was 2.90. In the village, the population was spread out, with 22.7% under the age of 18, 13.3% from 18 to 24, 20.0% from 25 to 44, 26.7% from 45 to 64, and 17.3% who were 65 years of age or older. The median age was 36 years. For every 100 females, there were 97.4 males. For every 100 females age 18 and over, there were 100.0 males. The median income for a household in the village was $28,125, and the median income for a family was $29,375. Males had a median income of $19,375 versus $14,688 for females. The per capita income for the village was $11,717. There were no families and 4.5% of the population living below the poverty line, including no under eighteens and none of those over 64.