Morrison is a city in Gasconade County, Missouri, United States. The first permanent settlement in the town was made by Robert Shobe circa 1…Morrison is a city in Gasconade County, Missouri, United States. The first permanent settlement in the town was made by Robert Shobe circa 1828. The population was 93 at the 2020 census. A post office called Morrison has been in operation since 1860. The community has the name of Alfred William Morrison, a legislator who is believed to have once lived in the area.