Omaha is a city in Morris County, northeast Texas, United States. The population as of the 2022 estimates was 1,403. This area of Texas h…Omaha is a city in Morris County, northeast Texas, United States. The population as of the 2022 estimates was 1,403. This area of Texas had been lightly settled under Spanish and Mexican rule. It was primarily settled after annexation by the United States by migrants from the South, many of whom arrived before the American Civil War. In that period, farmers had established cotton plantations. It was also an area of pine forests.