Griffith, Cochran County, TexasGriffith is an unincorporated community in Cochran County, Texas, United States. According to the Handbook of Texas, the community had a population of 12 in 2000.GeographyGriffith is located on Texas State Highway 114, west of Lubbock and east of the New Mexico state line in northwestern Cochran County.EducationToday, the community is served by the Morton Independent School District.