The northern park is called Susannanpuisto (it's the official name in the city plan). This park contains a playground which is called Leikkipuisto Sanna (https://palvelukartta.hel.fi/en/unit/141). The southern park has officially no name, but contains a playground which is called Leikkipaikka Sannanpuisto (https://palvelukartta.hel.fi/en/unit/26038) and just to make things worse there's a daycare
beside this playground called Päiväkoti Susanna (https://palvelukartta.hel.fi/en/unit/352).

All i all a messy situation that even the people from the city agreed is a bit confusing. However they don't have any plans to change the names for now.