Blend the blackberries, MCT oil, water, and lemon juice in a blender on high until the mixture is smooth. Press and strain berry solids through a fine-meshed sieve to remove seeds
Transfer the juice to a large saucepan and stir in the sugar.
Bring the berry mixture just to a boil, stirring till sweetener is dissolved. If your blackberries are too tart feel free to add an extra 1/4 cup of swerve.
Mix vodka with sorbet mixture. This helps the texture of the sorbet, making it smoother with fewer ice crystals.
Allow the mixture to cool and then freeze it in an ice cream maker according to the manufacturer’s instructions.*
Serve and enjoy!
*If you don’t have an ice cream maker: Pour the sorbet mixture into a shallow pan lined with foil or plastic wrap and freeze until solid. Let sit at room temp 10 or so minutes, until you can cut into ice cube-sized chunks. Pulse the frozen chunks in the food processor until smooth, scraping the bowl regularly to redistribute. Eat as is, or freeze further until scoopable.
Ta-da!