Over the last five weeks, Senator Hillary Rodham Clinton of New York has featured in her campaign stump speeches the story of a health care horror: an uninsured pregnant woman who lost her baby and died herself after being denied care by an Ohio hospital because she could not come up with a $100 fee. The woman, Trina Bachtel, did die last August, two weeks after her baby boy was stillborn at O’Bleness Memorial Hospital in Athens, Ohio. But hospital administrators said Friday that Ms. Bachtel was under the care of an obstetrics practice affiliated with the hospital, that she...