In a large mixing bowl with an electric mixer, cream shortening and sugar for about 3 minutes.
Add molasses, egg, and vanilla extract. Mix again until everything is combined.
In a separate large mixing bowl, whisk together the all-purpose flour, baking soda, ground ginger, ground black pepper, ground cinnamon, and the grated nutmeg. Add the dry ingredients to the wet ingredients in batches (I did about a third of the dry ingredients at a time, mixing in well after each addition).
Cover with plastic wrap and chill the gingersnap dough in your refrigerator for at least 1 hour up to overnight.
When ready to bake, preheat the oven to 350 degrees (180 degrees C).
Mix turbinado sugar and the ½ cup of granulated sugar together on a large plate.
Use a small cookie scoop to scoop out dough and roll gently into balls. Roll the cookie dough in the sugar on the plate until fully coated in sugar.
Place each sugar-coated cookie ball 2 inches apart on two parchment-lined baking sheets. Bake at 350 degrees C (180 degrees C) for 6 minutes, turn the baking sheets 180 degrees for even baking, then bake for another 6-7 minutes.
Allow the cookies to cool for 5 minutes on the baking sheet before carefully transferring to a wire cooling rack to completely cool for 10-15 minutes.
Keep in an airtight container to keep the gingersnaps snappy for 3-5 days. They will soften the older they are.