When the city’s Law Department needs Chicago City Council approval to settle any lawsuit costing more than $100,000, it’ll likely be Kathleen A. Hill who will make the request — and who might face the heat.Hill rejoined city government as the first assistant corporation counsel this summer after spending nearly two years as a top-ranking lieutenant to Cook County State’s Attorney Kimberly M. Foxx. Hill served as Foxx’s director of policy, research and development.She joined Foxx’s office …