James Harlan Granberry, Sr., known as Jim Granberry (born June 23, 1932), is a former mayor of Lubbock, Texas, who guided the city through a series of tornadoes that shattered the region on May 11, 1970. He imposed a curfew to restore order. He had just become mayor when the tornadoes occurred. He served only one two-year term from 1970-1972. He was a member of the Lubbock City Council from 1966-1970. He did not seek a second two-year term in 1972 and was succeeded by city councilman Morris W.