Heat oven to 325 degrees. For filling: Mix sugar, cornstarch, and salt in large heavy saucepan. Gradually stir in water and lemon juice until smooth.
Add egg yolks; stir until blended.
Add butter. Cook over medium heat, stirring constantly, until mixture thickens and comes to a boil. Reduce heat; simmer, stirring constantly, 1 minute.
Remove from heat. Stir in lemon peel; set aside.
Immediatelymake meringue: Dissolve cornstarch in cold water in small saucepan; bring to a boil, stirring constantly.
Remove from heat; cover.
Beat egg whites and cream of tartar in mixer bowl with whisk attachment on high speed until foamy.
Beating constantly, add sugar, 1 Tbsp. at a time, beating after each addition until sugar is dissolved before adding the next. Continue beating until whites are glossy and stand in
Soft Peaks.
Beating constantly, add cornstarch paste, 1–2 Tbsp. at a time. Beat in vanilla. Pour hot filling into piecrust.
Quickly spread meringue evenly over filling, starting at edge and sealing to crust all around; swirl with back of spoon. Bakein upper third of 325 degree oven until lightly browned, 16–18 minutes. Cool on wire rack 30 minutes to 1 hour.