There are not many lawyers in Margaret Battersby Black’s shoes.The Levin & Perconti LLP attorney acknowledged she’s somewhat of a rarity in her field of plaintiff’s injury law: A female partner under 40.Getting more women into upper echelons of injury law is something near and dear to Battersby Black: The 38-year-old was the first-ever chair of the Women’s Caucus of the Illinois Trial Lawyers Association, launched last year,leading to more women participating in the bar association’s …