Lucian Walton Parrish (January 10, 1878 - March 27, 1922) was a U.S. Representative from Texas.
Born in Sister Grove, near Van Alstyne, Texas, Parrish moved with his parents to Clay County in 1887 and settled near Joy, Texas. He attended the public schools of Joy and Bowie, Texas, and the North Texas State Normal College at Denton, Texas (now the University of North Texas). He taught school for two years. He graduated from the law department of the University of Texas at Austin in 1909. He was admitted to the bar the same year and commenced practice in Henrietta, Texas.
Parrish was elected as a Democrat to the Sixty-sixth and Sixty-seventh Congresses and served from March 4, 1919, until his death in Wichita Falls, Texas, March 27, 1922. He was interred in Hope Cemetery, Henrietta, Texas.