Ron Chock was elected Mayor in Fall 2007.
Woodward is served by a volunteer fire department, which has served since 1883.
As of the census of 2000, there were 1,200 people, 490 households, and 309 families residing in the city. The population density was 1,319.1 people per square mile (509.1/km²). There were 528 housing units at an average density of 580.4/sq mi (224.0/km²). The racial makeup of the city was 97.33% White, 0.08% African American, 0.33% Native American, 0.83% Asian, 1.00% from other races, and 0.42% from two or more races. Hispanic or Latino of any race were 1.17% of the population.
There were 490 households out of which 34.9% had children under the age of 18 living with them, 47.8% were married couples living together, 11.4% had a female householder with no husband present, and 36.9% were non-families. 32.2% of all households were made up of individuals and 14.3% had someone living alone who was 65 years of age or older. The average household size was 2.39 and the average family size was 3.06.
In the city the population was spread out with 28.3% under the age of 18, 7.2% from 18 to 24, 29.3% from 25 to 44, 21.8% from 45 to 64, and 13.3% who were 65 years of age or older. The median age was 37 years. For every 100 females there were 83.8 males. For every 100 females age 18 and over, there were 82.6 males.
The median income for a household in the city was $35,647, and the median income for a family was $43,333. Males had a median income of $29,500 versus $23,625 for females. The per capita income for the city was $19,501. About 4.7% of families and 6.9% of the population were below the poverty line, including 9.3% of those under age 18 and 11.5% of those age 65 or over.