Orange Township, Clinton County, Iowa  Orange Township is a township in Clinton County, Iowa, USA. As of the 2000 census, its population was 1,253. Orange Township was organized in 1846. It was first known as Union Township until 1854, when the name was changed to its present form. Orange Township covers an area of and contains one incorporated settlement, Grand Mound. According to the USGS, it contains five cemeteries: Allison, Barber, Calvary, Evergreen and Smith. The stream of Barber Creek runs through this township.