Preheat oven to 375°F (190°C). Grease and flour a 12-cup muffin tin or line with paper liners.
In a large bowl, cream together the softened butter and granulated sugar until light and fluffy.
Beat in the eggs one at a time, then stir in the vanilla extract.
In a separate bowl, whisk together the flour, baking powder, and salt.
Gradually add the dry ingredients to the wet ingredients, alternating with the milk, beginning and ending with the dry ingredients. Mix until just combined. Do not overmix.
Spoon the batter evenly into the prepared muffin cups, filling each about two-thirds full.
Bake for 15-18 minutes, or until a wooden skewer inserted into the center comes out clean.
Let the tea cakes cool in the muffin tin for a few minutes before transferring them to a wire rack to cool completely.
Notes
Optional: Dust with powdered sugar or drizzle with a simple glaze before serving.