South Shore is located at . According to the United States Census Bureau, the town has a total area of, all of it land. South Shore has been assigned the ZIP code 57263 and the FIPS place code 59940. The town takes its name from its location on Punished Woman's Lake.
As of the census of 2010, there were 225 people, 99 households, and 56 families residing in the town. The population density was. There were 122 housing units at an average density of. The racial makeup of the town was 95.1% White, 0.4% African American, 1.8% Native American, and 2.7% from two or more races. Hispanic or Latino of any race were 1.8% of the population. There were 99 households of which 29.3% had children under the age of 18 living with them, 44.4% were married couplesliving together, 6.1% had a female householder with no husband present, 6.1% had a male householder with no wife present, and 43.4% were non-families. 39.4% of all households were made up of individuals and 10.1% had someone living alone who was 65 years of age or older. The average household size was 2.27 and the average family size was 3.00. The median age in the town was 39.2 years. 28.4% of residents were under the age of 18; 5.8% were between the ages of 18 and 24; 26.2% were from 25 to 44; 24.8% were from 45 to 64; and 14.7% were 65 years of age or older. The gender makeup of the town was 51.1% male and 48.9% female.
2000 census
As of the census of 2000, there were 270 people, 116 households, and 77 families residing in the town. The population density was 193.4 people per square mile. There were 131 housing units at an average density of 93.9 per square mile. The racial makeup of the town was 98.89% White and 1.11% Native American. There were 116 households out of which 31.0% had children under the age of 18 living with them, 53.4% were married couples living together, 9.5% had a female householder with no husband present, and 33.6% were non-families. 28.4% of all households were made up of individuals and 13.8% had someone living alone who was 65 years of age or older. The average household size was 2.33 and the average family size was 2.91. In the town, the population was spread out with 25.6% under the age of 18, 8.1% from 18 to 24, 22.6% from 25 to 44, 25.9% from 45 to 64, and 17.8% who were 65 years of age or older. The median age was 41 years. For every 100 females, there were 94.2 males. For every 100 females age 18 and over, there were 99.0 males. The median income for a household in the town was $28,250, and the median income for a family was $36,875. Males had a median income of $25,313 versus $19,375 for females. The per capita income for the town was $21,341. About 5.1% of families and 7.3% of the population were below the poverty line, including 10.2% of those under the age of eighteen and 9.5% of those sixty five or over.
