Congressional staffers control the content on Members’ websites. They control Members’ Facebook and Twitter accounts. They can even manage Internet search results by buying ads and using search engine optimization techniques. But Hill staffers can’t control what people wonder about their bosses. The latest trend in helpful Web search technologies is quietly causing headaches for Members of Congress and those who manage their reputations. Search engines such as Google now offer suggested search terms that appear in a drop-down menu as users begin typing. Those search terms, formulated partly based on what other users are searching, often serve up all...