Born in Fort Worth, Texas, Pool graduated from Oak Cliff High School (now W. H. Adamson High School) in the Dallas Independent School District and attended the University of Texas from 1929 to 1933. He graduated from Southern Methodist University School of Law, Dallas, Texas, in 1937. He was admitted to the Texas bar the same year and commenced the practice of law in Dallas, Texas. He served with the United States Army as a special investigator, Air Corps Intelligence from 1943 to 1945. He served as member of State house of representatives from 1953 to 1958. He was an unsuccessful candidate for the Eighty-sixth Congress in 1958 and the Eighty-seventh Congress in 1960.
Pool was elected as a Democrat in 1962 to the Eighty-eighth, Eighty-ninth, from an at-large district and in 1967, he ran and was elected in the 3rd District which was redrawn as a result of the Supreme Court's "one person, one vote" ruling in Wesberry v. Sanders in 1964 to include part of Dallas County. All told, Pool served in Congress from January 3, 1963, until his death in Houston, Texas, July 14, 1968.
He was interred in Laurel Land Memorial Park, Dallas, Texas.
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