Fit 1 pie crust into a 9-inch pie plate and crimp edges. Unroll second crust. Using a 1-inch star cookie cutter, cut out 50 stars; place on baking sheet. Refrigerate both until ready to fill.
In a medium-size bowl, beat cream cheese, sugar, vanilla and egg until smooth. Spread evenly into bottom of pie crust.
In a large bowl, beat pumpkin puree, milk, brown sugar, eggs, pie spice and salt until smooth. Using a ladle, gently spoon pumpkin mixture over cream cheese mixture. Brush edge of pie with egg-water wash. Overlap pastry stars around edge. Brush stars lightly with egg-water mix.
Bake at 400°F for 15 minutes. Cover edges with foil, reduce heat to 350°F and bake for an additional 45 minutes.
Cool pie completely on rack. Refrigerate until completely chilled.