CHICAGO — A Southwest Side woman died partially of cold exposure, becoming the latest Cook County resident to die in connection to a week of frigid weather. Reyna Duarte, 58, was pronounced dead at 8:50 a.m. Friday at Advocate Christ medical center in Oak Lawn, according to the Cook County medical examiner’s office. According to Chicago police, the woman suffered a medical emergency while outside her West Lawn neighborhood home around 7 a.m. that morning and was taken to the hospital. It was unclear how long Duarte was outside before she was found, but the official air temperature was about 10…