National Weather Service meteorologist John Moore said a possible twister touched down in the Vicksburg, Mississippi, area.
News footage from the area showed shattered windows and rooftop debris from businesses, flooding in parking lots and cars with windows smashed out.
Flash floods hit Louisiana, where two deaths were reported. The path length and EF-rating on this second tornado is also unknown. Capt. Alton Lenderman said the parents, who were in the front seats, were not injured.
Additional details were not immediately available.
Ponding on roadways could also impact the morning commute, and high winds Monday of up to 50 miles per hour could also make it harder for crews to clean up any damage from the overnight storms, the service said.
The severe weather threat Saturday and Sunday placed almost 100 million Americans at risk of unsafe storms, tornadoes, hail and severe wind gusts, CNN Meteorologist Haley Brink said.
A tornado hit the small Central Texas city of Franklin, overturning mobile homes and damaging other residences, said Robertson County Sheriff Gerald Yezak.
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Mississippi Gov. Phil Bryant said during a press conference Sunday there was one storm-related fatality.
National Weather Service meteorologist Monique (moh-NEEK') Sellers says the agency received reports of downed trees, and damage to buildings and a transmission tower.
A view of clouds, part of a weather system seen from near Franklin, Texas, U.S., in this still image from social media video dated April 13, 2019.
As a strong upper level and surface low pressure system continues to rotate eastward through Texas on Saturday, clusters of thunderstorms developed Saturday morning across much of the state.
As the storm moved east, one person was killed by a tornado in the northern MS, according to Monroe County Coroner Alan Gurley.
The weather service also issued tornado watches Sunday evening for parts of Ohio, Kentucky, West Virginia, Virginia and North Carolina - including Raleigh and Charlotte - lasting through Sunday night. A tornado was reported in the area at the time.