To make the cookie cups, remove the refrigerated cookie dough from the fridge and allow to sit for approximately 10 minutes to soften. Preheat the oven to 350 degrees F and spray a 12-count muffin tin with non-stick spray and set aside.
Break 3 pieces of cookie dough off at a time and roll into a large ball. Repeat twelve times and place each ball in one muffin tin. Bake for 22-25 minutes, or until edges are golden brown and tops are set. Remove and allow to cool completely.
While cookies are cooling, make the frosting. Using a stand mixer or electric mixer, beat the butter on high speed for at least 3 minutes. Sift together the powdered sugar and cocoa powder and add to the butter. Beat on medium for about 2 minutes. Add the heavy cream and vanilla extract and increase speed to high and beat for another full 3 minutes. Transfer to a pastry piping bag and cut of a very small piece of the tip, about 1 centimeter. This will be your tip when you're glueing the turkey together.
To make the candy turkey, un-sandwich the Oreo's and lay the no-cream side face up on a baking sheet. Unwrap the mini Reese's and "glue" the bottom of each one to the bottom half of the Oreo using the frosting. Cover the rest of the Oreo with frosting and arrang about 6 candy corn pieces on the Oreo with the pointed side facing the Reese's to create a fan effect that looks like the turkey's feathers. Using the frosting, glue the googly eyes and cut the white tip off 12 candy corns and put them on with the point facing up right underneath to create the nose. Allow to set 10 minutes.
Cut a larger piece from the corner of the frosting bag to pipe the frosting on the top of the cookie cups. Swirl enough frosting on top to set the turkeys in. When turkeys are set, angle them slightly and place toward the front of the cookie cup, leaving a little room behind to add the name tag.
Cut small pieces of construction paper and write the names on each one. Cut the paper straws in half and hot glue the names to the end. Place the other end of the straw in the frosting right behind the turkey.