McDowell County Office of Emergency Management shift supervisor Allen Archer says the collapse occurred at 6:30 p.m. Wednesday at the Twin Branch Christian Academy in the southwest West Virginia town of Davy.
Archer says he has no other information on the woman who was killed. He says there were no other injuries.
Severe thunderstorms blew through the state, knocking out power to at least 153,000 customers.
Meanwhile, fierce winds and thunderstorms lashed Kentucky, causing new outages for at least 120,000 customers in a state still recovering from a late January ice storm.