Terrell Hills is a city in Bexar County, Texas, United States; it is located 5 miles (8 km) northeast of downtown San Antonio.The community is named after Frederick Terrell, a local bank president who had served as mayor of San Antonio in 1901.According to the United States Census Bureau, the city has a total area of 1.6 square miles (4.2 km2), all land.The Census Bureau classified 4.7% of the city's population, and 3.2% of its families, as living below the poverty line.[15] A small portion of Terrell Hills is served by the North East Independent School District.