Born in Caswell County, North Carolina, Hendrick moved with his parents to Logan County and later to Todd County, Kentucky, attended private schools and Bethel College, Russellville, Kentucky, moved to Crittenden County, Kentucky, in 1869 and engaged in teaching school. He studied law. He was admitted to the bar in 1874 and commenced practice in Smithland, Kentucky. He served as prosecuting attorney of Livingston County from 1878 to 1886. He served as member of the State Senate from 1887 to 1891. He served as delegate to the Democratic National Convention in 1888.
Hendrick was elected as a Democrat to the Fifty-fourth Congress (March 4, 1895-March 3, 1897). He was an unsuccessful candidate for renomination in 1896. He resumed the practice of law in Paducah, Kentucky, where he died June 20, 1921. He was interred in Maplelawn Cemetery.
This article incorporates public domain material from websites or documents of the Biographical Directory of the United States Congress.