Glendora started as a small sawmill site. Logs were floated down the river from around the vicinity of Webb to be sawn there.
The first settlement developed two miles south of Glendora at Black Bayou. When the railroad was built through the territory in 1883, a station was located there and called Glendora. The town immediately grew. A post office was established and a voting precinct was established. Thus, the inception of Glendora in 1900.
Cane Lake Lumber Company built a large sawmill there which operated until 1909 when it was moved to another site.
In 1955, resident Elmer Kimbrell shot and killed African-American Clinton Melton in front of three witnesses after an argument about how much gas Melton pumped into Kimbrell's car. He was acquitted after a short trial. Shortly before this murder, he was involved in the Emmett Till murder in Money, Mississippi.
At the 2000 census, there were 285 people, 69 households and 60 families residing in the village. The population density was 2,011.5 per square mile (786.0/km²). There were 73 housing units at an average density of 515.2 per square mile (201.3/km²). The racial makeup was 4.56% White, 92.28% African American, 0.70% Native American, and 2.46% from two or more races. Hispanic or Latino of any race were 3.16% of the population.
There were 69 households of which 55.1% had children under the age of 18 living with them, 29.0% were married couples living together, 50.7% had a female householder with no husband present, and 11.6% were non-families. 8.7% of all households were made up of individuals and 2.9% had someone living alone who was 65 years of age or older. The average household size was 4.13 and the average family size was 4.26.
41.8% of the population were under the age of 18, 15.4% from 18 to 24, 23.2% from 25 to 44, 14.7% from 45 to 64, and 4.9% who were 65 years of age or older. The median age was 21 years. For every 100 females there were 82.7 males. For every 100 females age 18 and over, there were 82.4 males.
The median household income was $14,375 and the median family income was $11,875. Males had a median income of $17,500 compared with $11,250 for females. The per capita income for the village was $7,044. About 68.2% of families and 62.6% of the population were below the poverty line, including 83.3% of those under the age of 18 and 40.0% of those 65 or over.