1. Gently stir together berries with granulated sugar and lime juice in a large bowl. Transfer 1 cup of berry mixture to a small bowl and mash with a fork until coarsely crushed. Fold mashed berries into remaining berry mixture and let stand for at least 20 minutes.
2. Beat cream in a large bowl with an electric mixer just until soft peaks form. Fold in confectioners' sugar and gingerroot until just combined.
3. Alternate berry mixture with whipped cream in eight 1-cup parfait glasses. Serve immediately.