Heat oven to 350℉/177℉.
Spray a 9-inch loaf pan with baking spray. Set aside.
In a medium bowl, whisk together flour, shredded coconut, corn starch, baking powder, and salt. Set aside.
With an electric mixer, beat butter, coconut oil, and sugar until light and fluffy, about 2-3 minutes.
Add eggs, one at a time, beating well after each addition.
Stir in vanilla.
Add flour mixture alternately with milk, beginning and ending with flour mixture.
Pour into prepared pan.
Bake for 55-60 minutes, or until cake tests done.
Allow to cool in pan for 15-20 minutes.
Turn out and place on wire rack to finish cooling.