Baltimore was originally called New Market, and under the latter name was laid out in 1824. A post office called Baltimore has been in operation since 1829.
As of the census of 2010, there were 2,966 people, 1,214 households, and 796 families living in the village. The population density was. There were 1,288 housing units at an average density of. The racial makeup of the village was 97.5% White, 0.3% African American, 0.5% Asian, 0.2% from other races, and 1.5% from two or more races. Hispanic or Latino of any race were 0.5% of the population. There were 1,214 households, of which 36.3% had children under the age of 18 living with them, 45.6% were married couplesliving together, 14.5% had a female householder with no husband present, 5.4% had a male householder with no wife present, and 34.4% were non-families. 29.5% of all households were made up of individuals, and 11.7% 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 3.01. The median age in the village was 37 years. 26.8% of residents were under the age of 18; 7.5% were between the ages of 18 and 24; 27.4% were from 25 to 44; 25.2% were from 45 to 64; and 13% were 65 years of age or older. The gender makeup of the village was 47.4% male and 52.6% female.
2000 census
As of the census of 2000, there were 2,881 people, 1,159 households, and 786 families living in the village. The population density was 1,616.8 people per square mile. There were 1,212 housing units at an average density of 680.2 per square mile. The racial makeup of the village was 98.96% White, 0.10% African American, 0.03% Native American, 0.17% Asian, 0.03% from other races, and 0.69% from two or more races. Hispanic or Latino of any race were 0.38% of the population. There were 1,159 households, out of which 34.3% had children under the age of 18 living with them, 52.3% were married couples living together, 11.5% had a female householder with no husband present, and 32.1% were non-families. 27.9% of all households were made up of individuals, and 14.2% had someone living alone who was 65 years of age or older. The average household size was 2.47 and the average family size was 3.01. In the village, the population was spread out, with 26.1% under the age of 18, 8.8% from 18 to 24, 29.1% from 25 to 44, 21.3% from 45 to 64, and 14.7% who were 65 years of age or older. The median age was 36 years. For every 100 females there were 89.5 males. For every 100 females age 18 and over, there were 84.7 males. The median income for a household in the village was $39,375, and the median income for a family was $46,780. Males had a median income of $37,714 versus $25,386 for females. The per capita income for the village was $17,436. About 7.7% of families and 9.5% of the population were below the poverty line, including 10.5% of those under age 18 and 11.5% of those age 65 or over.