Parnell is a city in Iowa County, Iowa, United States. The population was 194 at the time of the 2020 census. Parnell, in Fillmore Township, Io…Parnell is a city in Iowa County, Iowa, United States. The population was 194 at the time of the 2020 census. Parnell, in Fillmore Township, Iowa County, Iowa, was named after Charles Stewart Parnell, a noble Irish statesman who had come to the American people to plead the cause of Ireland's land-impoverished peasants.