America lost more than three-fourths of its textile-mill jobs between 1991 and 2016. “One of my main objectives was to bring those opportunities back,” says Gary Heiman, president and CEO of Cincinnati-based Standard Textile. Mr. Heiman has succeeded, creating around 400 jobs in two Southern towns, but now the Trump tariffs are threatening to drive those jobs back overseas. That’s the opposite of what Mr. Trump claims is happening due to his tariffs. Standard Textile specializes in making sheets, towels and other reusable fabric products for hospitals and hotels. Since 2002 the company has invested some $66 million in American...