Combine the dry ingredients (flour, baking soda, salt, corn starch) and sift together.
Cream butter with sugars together in a large mixing bowl.
Beat in the vanilla and then add in the egg and egg yolk and continue beating until the mixture is light and creamy.
Add in the dry ingredients and mix just until combined.
Stir in the chocolate chips.
Scoop out about 1/4 cup of dough and wrap around a Reese's peanut butter cup making sure to seal the edges.
Continue until all dough has been used.
Place cookies on a parchment lined baking sheet and refrigerate for 20-30 minutes.
Preheat oven to 325 degrees.
Space cookies about 3 inches apart and bake for 15 to 17 minutes.
The cookies are done when the edges are golden. Let the cookies cool on the baking sheet for a few minutes and then transfer to a wire racks to finish cooling.