When Alistair Cooke shows up to introduce Three Faces of Eve, we know that the fact-based story will bear more than a little fidelity to truth. Joanne Woodward won an Academy Award for her portrayal of Eve, a young Georgia housewife suffering from multiple personalities. Eve’s husband (David Wayne), confused by his wife’s aberrant behavior when assuming her two “other selves,” seeks out help from a psychiatrist (Lee J. Cobb).