They also said several trees broke and two houses were damaged by falling trees, they said.
The National Weather Service in Dallas confirmed a tornado in Corsicana, likely of EF0 intensity on the Enhanced Fujita Scale, with wind speeds of 65 to 85 mph.
Corsicana is located about 50 miles southeast of Dallas.
Snow, ice, and flooding rain are also expected in Texas and Oklahoma
In addition to the severe storm, snow, ice and rain are expected in the region in the coming days.
Nearly 8 million people are at risk from snow and ice in western Texas to western Oklahoma through Thursday evening. Accumulations can be more than a foot in western Texas and at least six inches in western Oklahoma and Kansas.
Up to a quarter inch of ice and possibly more is possible for parts of North Texas, central Oklahoma, East Kansas, and North Missouri.
On the warm side of the storm, flooding rains are expected in Arkansas, Texas and Louisiana through Friday with anywhere from 3 to 6 inches of rain.
There is growing concern about the possibility of tornadoes and damaging winds starting Thursday afternoon and lasting past midnight as the new year arrives. Almost 18 million people are at risk from severe weather.