Preheat oven to 425°. Place potatoes and carrots in a large saucepan; add water to cover. Bring to a boil. Reduce heat; cook, covered, 8-10 minutes or until crisp-tender; drain.
In a large skillet, heat butter over medium-high heat.
Add onion; cook and stir until tender.
Stir in flour and seasonings until blended.
Gradually stir in broth and milk.
Bring to a boil, stirring constantly; cook and stir 2 minutes or until thickened.
Stir in chicken, peas, corn and potato mixture; remove from heat.
Unroll a pie crust into 9-in. pie plates; trim even with rims. Add chicken mixture. Unroll remaining crusts; place over filling. Trim, seal and flute edges. Cut slits in tops.
Bake 35-40 minutes or until crust is lightly browned.
Let stand 15 minutes before cutting.
Freeze option: Cover and freeze unbaked pies. To use, remove from freezer 30 minutes before baking (do not thaw). Preheat oven to 425°. Place pies on baking sheets; cover edges loosely with foil. Bake 30 minutes. Reduce oven setting to 350°; bake 70-80 minutes longer or until crust is golden brown and a thermometer inserted in center reads 165°.