Preheat oven to 375F.
Line a rimmed baking sheet with parchment paper.
In a large bowl, whisk together flour, 1/3 cup sugar, baking powder, salt and lemon zest.
Using a pastry blender or 2 forks, cut butter into flour mixture until it resembles course crumbs.
In a small bowl, whisk together 1/2 cup cream, egg, and vanilla extract.
Add to flor mixture, stirring with a fork until a shaggy dough begins to form.
Working gently, bring mixture together with hands until a dough forms. (If mixture seems
dry and dough won't come together, add.more cream, 1 tablespoon at a time,until it does.
Dough should be somewhat firm.)
Turn out dough onto a lightly floured surface, and knead gently until smooth by patting dough and folding it in half 4 or 5 times.
Using a rolling pin, roll out dough to a 1/2 -inch thickness. Scatter 1/2 cup strawberries over half of dough.
Fold other half of dough over strawberries to enclose them.
Using a rolling pin, gently roll out dough again to a 3/4-inch thickness.
Repeat scattering, folding and rolling process with remaining 1/2 cup strawberries.
Using a 2 1/4-inch round cutter dipped in flour, cut as many scones as possible from dough without twisting cutter, rerolling scraps as necessary.
Place scones 2 inches apart on prepared baking sheet.
**Freeze scones until firm, approximately 15 minutes.
Brush tops of scones with remaining 1 tablespoon cream.
Sprinkle with remaining 1 teaspoon sugar.
Bake until scones are golden brown, 12-15 minutes. Serve Warm