Rice Township is one of twenty-three townships in Jo Daviess County, Illinois, USA. As of the 2010 census, its population was 338 and it co…Rice Township is one of twenty-three townships in Jo Daviess County, Illinois, USA. As of the 2010 census, its population was 338 and it contained 268 housing units. It was formed as Washington Township from East Galena Township on February 22, 1859; its name changed to Rice Township on June 16, 1859.