Cream together the softened butter and sugar until light and fluffy.

Add the egg, milk, and vanilla extract. Beat well to combine all wet ingredients.

In a separate bowl, stir together the self-rising flour and salt.

Gradually add the dry ingredients to the wet ingredients, mixing until just combined. Do not overmix.

Divide the dough in half.

Wrap each half in plastic wrap or place in a covered container.

Chill the dough in the refrigerator for at least 1 hour to prevent overspreading during baking.