Woodway is a city in McLennan County, Texas, United States. The population was 9,383 at the 2020 census. It is part of the Waco Metr…Woodway is a city in McLennan County, Texas, United States. The population was 9,383 at the 2020 census. It is part of the Waco Metropolitan Statistical Area. Originally founded in 1865 by Confederate veteran Burl Kendrick, Woodway was named by a committee of citizens in the early 1950s. Following the Supreme Court decisions Brown v. Board of Education and Brown II, the city of Waco mounted an attempt to desegregate the public school system. In response to the integration attempts, residents incorporated on June 20, 1955, under the name "Woodway," a portmanteau of the area's existing place names, Woodland West and the Village of Midway.