As of the census of 2000, there were 2,544 people, 1,051 households, and 627 families residing in the city.
The population density was 754.8 people per square mile (291.5/km²).
There were 1,148 housing units at an average density of 340.6 per square mile (131.5/km²).
The racial makeup of the city was 95.52% White, 1.10% African American, 0.16% Native American, 0.31% Asian, 2.36% from other races, and 0.55% from two or more races.
Hispanic or Latino of any race were 3.22% of the population.

There were 1,051 households, out of which 29.0% had children under the age of 18 living with them, 40.9% were married couples living together, 15.3% had a female householder with no husband present, and 40.3% were non-families.
36.9% of all households were made up of individuals, and 18.5% had someone living alone who was 65 years of age or older.
The average household size was 2.23 and the average family size was 2.90.

In the city, the population was spread out, with 23.0% under the age of 18, 11.2% from 18 to 24, 24.8% from 25 to 44, 21.0% from 45 to 64, and 19.9% who were 65 years of age or older.
The median age was 38 years.
For every 100 females, there were 82.9 males.
For every 100 females age 18 and over, there were 76.9 males.

The median income for a household in the city was $19,912, and the median income for a family was $27,218.
Males had a median income of $24,671 versus $18,594 for females.
The per capita income for the city was $12,100.
About 24.9% of families and 27.6% of the population were below the poverty line, including 36.0% of those under age 18 and 21.2% of those age 65 or over.

In 2010, Morgantown had the 16th-lowest median household income of all places in the United States with a population over 1,000.
As of the census of 2000, there were 2,544 people, 1,051 households, and 627 families residing in the city. The population density was 754.8 people per square mile (291.5/km²). There were 1,148 housing units at an average density of 340.6 per square mile (131.5/km²). The racial makeup of the city was 95.52% White, 1.10% African American, 0.16% Native American, 0.31% Asian, 2.36% from other races, and 0.55% from two or more races. Hispanic or Latino of any race were 3.22% of the population.
There were 1,051 households, out of which 29.0% had children under the age of 18 living with them, 40.9% were married couples living together, 15.3% had a female householder with no husband present, and 40.3% were non-families. 36.9% of all households were made up of individuals, and 18.5% had someone living alone who was 65 years of age or older. The average household size was 2.23 and the average family size was 2.90.
In the city, the population was spread out, with 23.0% under the age of 18, 11.2% from 18 to 24, 24.8% from 25 to 44, 21.0% from 45 to 64, and 19.9% who were 65 years of age or older. The median age was 38 years. For every 100 females, there were 82.9 males. For every 100 females age 18 and over, there were 76.9 males.
The median income for a household in the city was $19,912, and the median income for a family was $27,218. Males had a median income of $24,671 versus $18,594 for females. The per capita income for the city was $12,100. About 24.9% of families and 27.6% of the population were below the poverty line, including 36.0% of those under age 18 and 21.2% of those age 65 or over.
In 2010, Morgantown had the 16th-lowest median household income of all places in the United States with a population over 1,000.
Morgantown, Kentucky