Hotel Coleman, which owns the Holiday Inn Express in far northwest suburban Algonquin unquestionably qualified as one of Bogustawa Frey’s employers under Title VII of the Civil Rights Act of 1964, but she also sued Vaughn Hospitality, the management company that operated the hotel for Coleman. As such, the district judge — granting Vaughn’s request for summary judgment after getting “sidetracked down the incorrect path of the Title VII maze” — used the wrong test for determining whether …