Verizon spent a long time wooing her for her current post as vice president of government affairs for the tristate region. Insiders said it was worth it. “She clearly is a superstar,” said one. “Verizon has brought her here to do big things.” Eve appears to have the pedigree. Her father was a longtime politician in New York. And some of her previous bosses include Andrew Cuomo, Hillary Clinton and Joe Biden.