Preheat the oven to 350°F (175°C). Line a muffin tin with cupcake liners.

In a mixing bowl, cream together the butter and sugar until light and fluffy.

Add the eggs one at a time, mixing well after each addition. Stir in the vanilla.

Gradually add the flour and mix until just combined.

Spoon the batter into the prepared muffin tin, filling each liner about 2/3 full.

In another bowl, beat the cream cheese until smooth.

Add the sour cream, powdered sugar, lime juice, and mashed blackberries. Mix until well combined.

Spoon the cheesecake filling over the cupcake batter in the muffin tin.

Bake in the preheated oven for 20-25 minutes, or until a toothpick inserted comes out clean.

Let cool completely before topping with whipped cream and garnishing with blackberries.