The community was originally named Fallbridge; it was changed to Wishram to honor the Wishram tribe of Native Americans.
According to the United States Census Bureau, the CDP has a total area of 1.3 square miles (3.3 km²), all of it land.
There were 122 households out of which 21.7% had children under the age of 18 living with them, 40.1% were married couples living together, 13.2% had a female householder with no husband present, and 41.4% were non-families. 36.8% of all households were made up of individuals and 16.4% had someone living alone who was 65 years of age or older. The average household size was 2.13 and the average family size was 2.74.
In the CDP the population was spread out with 25.0% under the age of 18, 5.2% from 18 to 24, 25.0% from 25 to 44, 25.3% from 45 to 64, and 19.4% who were 65 years of age or older. The median age was 41 years. For every 100 females there were 110.4 males. For every 100 females age 18 and over, there were 99.2 males.
The median income for a household in the CDP was $26,667, and the median income for a family was $23,750. Males had a median income of $31,042 versus $23,229 for females. The per capita income for the CDP was $15,414. About 27.7% of families and 26.3% of the population were below the poverty line, including 43.3% of those under age 18 and 9.3% of those age 65 or over.
Wishram is a hub for train traffic coming north from Oregon and California, as well as those coming west. The section of railroad that runs from Vancouver to Pasco still bears the towns' original name of Fallbridge.