A 17th century-style replica building at Plimoth Plantation was destroyed yesterday by a fire that spread from a fireplace to the roof, according to Ellie Donovan, the organization’s executive director. Firefighters quickly put out the blaze at the Cooke House, but the fire “ate up the whole roof by the time we got there,’’ battalion chief Dean DelTorro said. No one was injured. Donovan said the building will be torn down. The tourist site was reopened later in the day.