Lynch was incorporated as a village in 1892. It was named for John Lynch, a pioneer settler. Thirty of the one hundred homes in Lynch were destroyed by flooding in 2019.
As of the census of 2010, there were 245 people, 125 households, and 64 families residing in the village. The population density was. There were 179 housing units at an average density of. The racial makeup of the village was 94.3% White, 0.8% Native American, 0.4% Asian, 0.8% Pacific Islander, and 3.7% from two or more races. Hispanic or Latino of any race were 2.9% of the population. There were 125 households, of which 17.6% had children under the age of 18 living with them, 39.2% were married couplesliving together, 8.0% had a female householder with no husband present, 4.0% had a male householder with no wife present, and 48.8% were non-families. 45.6% of all households were made up of individuals, and 29.6% had someone living alone who was 65 years of age or older. The average household size was 1.96 and the average family size was 2.67. The median age in the village was 53.5 years. 21.2% of residents were under the age of 18; 3.3% were between the ages of 18 and 24; 13.5% were from 25 to 44; 27.7% were from 45 to 64; and 34.3% were 65 years of age or older. The gender makeup of the village was 49.4% male and 50.6% female.
2000 census
As of the census of 2000, there were 269 people, 131 households, and 78 families residing in the village. The population density was 476.2 people per square mile. There were 177 housing units at an average density of 313.3/sq mi. The racial makeup of the village was 96.28% White, 1.86% Native American, 0.37% Asian, and 1.49% from two or more races. There were 131 households, out of which 18.3% had children under the age of 18 living with them, 52.7% were married couples living together, 3.8% had a female householder with no husband present, and 39.7% were non-families. 38.2% of all households were made up of individuals, and 22.1% had someone living alone who was 65 years of age or older. The average household size was 2.05 and the average family size was 2.63. station in Lynch In the village, the population was spread out, with 21.2% under the age of 18, 3.3% from 18 to 24, 15.6% from 25 to 44, 31.2% from 45 to 64, and 28.6% who were 65 years of age or older. The median age was 51 years. For every 100 females, there were 93.5 males. For every 100 females age 18 and over, there were 100.0 males. The median income for a household in the village was $25,333, and the median income for a family was $29,792. Males had a median income of $23,571 versus $24,583 for females. The per capita income for the village was $15,702. About 5.2% of families and 11.0% of the population were below the poverty line, including 22.0% of those under the age of eighteen and 8.0% of those 65 or over.
