Update: The number of female state senators with legal backgrounds was incorrectly stated in the 10th paragraph. There are two: Sen. Toi Hutchingson has a law degree and Se. Jil Walker Tracy is a licensed attorney.SPRINGFIELD — As they begin a new session in the state legislature, some senators have taken on new law firm roles as well.Sen. Michael G. Connelly, a Lisle Republican, and Sen. Toi Hutchinson, an Olympia Fields Democrat, are now working for Dinsmore & Shohl LLP and Chapman and Cutler LLP, respectively …