Crescent was originally laid out by Joseph E. Johnson, a Latter-day Saint who also published a paper there in the 1850s. Before the near universal exodus of the Mormons to Utah in 1852, the area was known as Brownell's Grove and Farmersville. Crescent had about 300 residents in 1950.
As of the census of 2010, there were 617 people, 235 households, and 177 families living in the city. The population density was. There were 241 housing units at an average density of. The racial makeup of the city was 98.4% White, 0.2% Native American, 0.2% from other races, and 1.3% from two or more races. Hispanic or Latino of any race were 1.8% of the population. There were 235 households, of which 28.5% had children under the age of 18 living with them, 68.1% were married couplesliving together, 4.7% had a female householder with no husband present, 2.6% had a male householder with no wife present, and 24.7% were non-families. 17.0% of all households were made up of individuals, and 6.8% had someone living alone who was 65 years of age or older. The average household size was 2.63 and the average family size was 2.99. The median age in the city was 44.1 years. 20.3% of residents were under the age of 18; 7.1% were between the ages of 18 and 24; 24.3% were from 25 to 44; 35.3% were from 45 to 64; and 13% were 65 years of age or older. The gender makeup of the city was 50.7% male and 49.3% female.
2000 census
As of the census of 2000, there were 537 people, 192 households, and 153 families living in the city. The population density was 426.9 people per square mile. There were 195 housing units at an average density of 155.0 per square mile. The racial makeup of the city was 98.32% White, 0.93% Native American, 0.19% Asian, and 0.56% from two or more races. Hispanic or Latino of any race were 0.19% of the population. There were 192 households, out of which 33.9% had children under the age of 18 living with them, 70.8% were married couples living together, 5.7% had a female householder with no husband present, and 20.3% were non-families. 15.6% of all households were made up of individuals, and 6.3% had someone living alone who was 65 years of age or older. The average household size was 2.80 and the average family size was 3.15. In the city, the population was spread out, with 25.9% under the age of 18, 8.8% from 18 to 24, 28.1% from 25 to 44, 27.4% from 45 to 64, and 9.9% who were 65 years of age or older. The median age was 37 years. For every 100 females, there were 98.2 males. For every 100 females age 18 and over, there were 99.0 males. The median income for a household in the city was $60,000, and the median income for a family was $61,042. Males had a median income of $32,917 versus $29,125 for females. The per capita income for the city was $24,548. About 3.1% of families and 2.5% of the population were below the poverty line, including none of those under age 18 and 11.1% of those age 65 or over.
