Strawberry Lime Pie

Pillsbury refrigerated pie crust, or ingredients for your own homemade crust.
2 packages (1 lb each) fresh strawberries
¼ cup sugar
1 tsp vanilla
2 Tbsp cornstarch
4 limes
1 cup heavy cream
2-4 Tbsp sugar
¾ cup water
Prepare and bake crust, according to directions. I made my own out of flour, butter, salt, sugar, and ice water. Next time I will buy Pillsbury.
Slice half of strawberries. Put in medium saucepan with water and cornstarch and ¼ cup sugar. Bring to a boil, and reduce heat a little stirring frequently until sauce is thick. Squeeze juice of 3 limes and zest from ½ lime into strawberry sauce, and stir in vanilla.
Finely chop 2/3 of remaining strawberries and add to sauce.
Remove from heat.
Pour into crust. Cover and refrigerate overnight.
In the morning, whip cream in electric mixer. Add sugar to taste, and juice of one half of a lime.
Spread over pie. Then slice remaining strawberries and limes for garnish.