The Fugitive (1963)

While working as a veterinarian assistant in a rural town in Utah, Kimble becomes aquainted with Ruth Simmons, an unwed teenage mother whom has a sickly infant. But her father, Joshua, is a Christian Scientist whose religion prohibits the use of medicine for any ailment. Kimble brings over antibiotics, but Joshua destroys the drugs. After determing that the baby is anemic, Kimble secretly arranges for a blood transfusion. Meanwhile, after stumbling upon Kimble's true idenity, a would-be deputy, named Pete, searches for the fugivtive with the aid of his two bloodhound dogs.