Preheat oven at 400˚F.
In a mixing bowl, mash the cooked sweet potatoes. Using a mixer, beat in both sugars, then the eggs, and finally the melted butter. Working with 1 ingredient at a time, beat in the ginger, nutmeg, cinnamon, vanilla extract, milk, and lemon extract.
Divide the batter between the pie shells, then place in the oven and lower the temperature to 350˚F. Bake for 60 minutes, then remove from the oven and let the pies set for at least 30 minutes. Serve warm or cool.