Everman is a city in Tarrant County, Texas, United States. Its population was 6,154 in the 2020 census, an increase over the figure of 6,108 ta…Everman is a city in Tarrant County, Texas, United States. Its population was 6,154 in the 2020 census, an increase over the figure of 6,108 tabulated in 2010. Everman is an incorporated residential community on the southern edge of Fort Worth near Interstate 820 in southeastern Tarrant County. Members of the Kiowa, Apache, and Wichita tribes inhabited the area until the arrival of Anglo-Americans in the early to middle 1850s. A hamlet named Oak Grove existed in the area for several years. A small community to the east of present-day Everman was known as Enon. The "Enon" community name had been taken from the Bible. They had a doctor's office, a drug store, and a general store.