The Indians named the stream running through Weeping Water Nigahoe, meaning "rustling water", the sound of water running over the low falls. When the French arrived, they confused the name with another Indian word, Nihoage, meaning "water weeping". They gave the stream the French name L'eau qui Pleuva, meaning "water which weeps".
Weeping Water was platted as a town in 1867.
Weeping Water is located at 40°52′4″N 96°8′21″W (40.867854, -96.139205).
According to the United States Census Bureau, the city has a total area of 0.97 square miles (2.51 km2), all of it land.
As of the census of 2010, there were 1,050 people, 427 households, and 274 families residing in the city. The population density was 1,082.5 inhabitants per square mile (418.0/km2). There were 466 housing units at an average density of 480.4 per square mile (185.5/km2). The racial makeup of the city was 98.8% White, 0.2% African American, 0.1% Native American, 0.1% Asian, 0.1% from other races, and 0.8% from two or more races. Hispanic or Latino of any race were 0.7% of the population.
There were 427 households of which 34.0% had children under the age of 18 living with them, 51.8% were married couples living together, 8.0% had a female householder with no husband present, 4.4% had a male householder with no wife present, and 35.8% were non-families. 29.7% of all households were made up of individuals and 14.3% had someone living alone who was 65 years of age or older. The average household size was 2.46 and the average family size was 3.08.
The median age in the city was 38 years. 26.3% of residents were under the age of 18; 7.2% were between the ages of 18 and 24; 25.4% were from 25 to 44; 28.1% were from 45 to 64; and 13% were 65 years of age or older. The gender makeup of the city was 49.0% male and 51.0% female.
As of the census of 2000, there were 1,003 people, 434 households, and 293 families residing in the city. The population density was 1,254.8 people per square mile (483.9/km²). There were 465 housing units at an average density of 529.0 per square mile (204.0/km²). The racial makeup of the city was 99.09% White, 0.09% Native American, 0.09% Pacific Islander, and 0.73% from two or more races. Hispanic or Latino of any race were 0.54% of the population.
There were 434 households out of which 34.1% had children under the age of 18 living with them, 56.7% were married couples living together, 7.4% had a female householder with no husband present, and 32.3% were non-families. 29.3% of all households were made up of individuals and 14.7% had someone living alone who was 65 years of age or older. The average household size was 2.54 and the average family size was 3.15.
In the city, the population was spread out with 27.5% under the age of 18, 8.8% from 18 to 24, 26.8% from 25 to 44, 21.8% from 45 to 64, and 15.1% who were 65 years of age or older. The median age was 37 years. For every 100 females there were 89.8 males. For every 100 females age 18 and over, there were 90.9 males.
As of 2000 the median income for a household in the city was $42,692, and the median income for a family was $51,250. Males had a median income of $37,656 versus $21,354 for females. The per capita income for the city was $18,674. About 5.1% of families and 7.4% of the population were below the poverty line, including 9.7% of those under age 18 and 7.9% of those age 65 or over.
Weeping Water is best known for its limestone quarry. Every year, late in June, the town celebrates Limestone Day with a parade, fireworks and games.