Jane Byrne, who capitalized on Chicago’s slow reaction to a snowstorm to score one of the biggest election upsets in the city’s history and become its first female mayor, died today. She was 81. Byrne, whose four-year term brought festivals and filmmakers to Chicago but was also filled with upheaval at City Hall, died at a hospice in Chicago, said her daughter, Kathy. Byrne famously beat Mayor Michael Bilandic in 1979 after his administration failed to adequately clear streets fast enough after a …