Preheat the oven to 350° F (180°C). Line a 9-inch pie plate with the rolled-out Vinegar Pie Crust. (For a particularly crisp crust, consider parbaking the crust per the instructions in the pastry recipe.)
Melt the butter in a saucepan over medium heat. Remove from the heat and stir in the sugar. Beat in the eggs, one at a time. Then stir in the cornmeal, followed by the lemon juice, mixing just until combined. Pour the filling into the crust.
Bake the pie for 35 to 45 minutes, until the filling is a deep golden brown. Cool on a wire rack for 1 hour before slicing.