The county's emergency management director, Brad Gilbert, said two people were taken to a hospital to be evaluated for minor injuries after their home sustained substantial damage in Jerry City, about 10 miles southeast of Bowling Green.
Thousands of customers were without power across northwest Ohio due to the storm.
Strong winds knocked out power to thousands in the Milwaukee area, damaged buildings and downed trees in Dodge County, and sent churchgoers scrambling into church basements for safety.
In the town of Hustisford, cattle sheds, garages and storage sheds were damaged, said Dodge County Emergency Management Director Joseph Meagher. No injuries were immediately reported, he said.
High winds and rain slammed into Michigan, causing tens of thousands of power outages. The storm hit from Lake Michigan communities in the west to counties hundreds of miles to the east. There were no immediate reports of injuries, but trees and power lines snapped from winds topping 60 mph.
A possible tornado touched down at a uranium enrichment plant in Paducah, Ky., as strong storms moved through the state. No deaths or injuries were reported, and plant officials said no hazardous materials were released from the plant.
A total of eight Kentucky counties reported tornado sightings.
At least two homes were destroyed — one in Henderson County and another in Butler County. More than 3,000 customers lost power.
Severe storms slammed the eastern part of Missouri, leaving thousands without power mostly in the St. Louis area and destroying a mobile home in Scott County. No one was injured.
The National Weather Service said the storm tore shingles off roofs and uprooted trees across parts of St. Louis and St. Louis County.