Deeds said around midnight that 14 people were still missing but Mayor Pro Tem Nin Hulett told ABC's "Good Morning America" on Thursday morning that he believed most residents had been accounted for.
"Our highest priority right now is to try to get the people that are out there in those communities under a shelter somewhere," Hulett said.
Deeds said about 50 people were taken to a hospital in Granbury. Yet more gathered at a local elementary school where paramedics provided on-site treatment. Matt Zavadsky, a spokesman for MedStar Mobile Healthcare, estimated that as many as 100 people were injured.
Utilities said about 20,000 homes and businesses were without power early Thursday.
Another tornado that storm spotters told the National Weather Service was a mile wide tore through Cleburne, a courthouse city of about 30,000 about 25 miles southeast of Granbury.
Cleburne Mayor Scott Cain said early Thursday that no one was killed or seriously hurt, although seven people suffered minor injuries. He estimated that dozens of homes were damaged and declared a local disaster.
In one neighborhood, a trucking company trailer that had been parked on the street was picked up and dropped onto a nearby car and garage.
Another tornado hit the small town of Millsap, about 40 miles west of Fort Worth. Parker County Judge Mark Kelley said roof damage was reported to several houses and a barn was destroyed, but no injuries were reported.
Hail as large as grapefruit also pelted the area around Mineral Wells on Wednesday evening. A police dispatcher reported only minor damage.