Grover, South CarolinaGrover is an unincorporated community and census-designated place in Dorchester County, South Carolina, United States. It was first listed as a CDP in the 2020 census with a population of 297.HistoryGrover was named for President Grover Cleveland.Demographics2020 census''Note: the US Census treats Hispanic/Latino as an ethnic category. This table excludes Latinos from the racial categories and assigns them to a separate category. Hispanics/Latinos can be of any race.''