LaDonna Cobb and her husband, Steve, were with their children at their school on May 20 when a tornado demolished the building.
A photograph of Steve Cobb carrying one of their daughters with his wife looking to him with blood on her face emerged as a symbol of Moore's suffering and resilience.
Friday's tornadoes drove them into a shelter and put fear into their hearts again.
"We're terrified," Cobb told CNN's Piers Morgan.
The second tornado was particular unsettling for their children.
"They were not handling it very well. They were pretty upset," Cobb said.
Once it passed, Lewis, the city mayor, rode around town in his pickup.
"This is unbelievable that it could possibly even hit again," he said. "We just started picking up (debris) two days ago."