In a small pan add butter and cook over medium heat until the butter is brown and has a nutty aroma. Pour into a cup and allow it to cool.
Sift together flour, baking powder, and baking soda.
In a bowl of a standing mixer, add the sugar and orange zest and rub the sugar with your fingers to infuse the zest.
Add the eggs and beat using the whisk attachment medium speed for about 2 minutes.
Stop the mixer and add the coffee, orange juice, and vanilla extract. Gently stir with a rubber spatula.
Gently fold in the flour mix.
Place the batter in the refrigerator for 1 hour.
Butter and sprinkle with flour 12 cavities madeleines pan.
Fill each cavity halfway with batter and scoop 1/2 - 1 tsp of chestnut madeleine. If time permits, place back in the refrigerator for 1 hour.
Preheat oven to 400F and bake for 10 minutes.
Remove from the oven and let cool for 5-10 minutes before removing from pan.
Melt chocolate and vegetable shortening dip Madeleines halfway in.