Preheat oven to 350°F (180°C). Butter a 9-inch cake pan and line with parchment or 9-inch deep-dish pie pan. Don't use a regular 9-inch pie plate which is too small.
Whisk flour, baking powder, and salt together in a small bowl. In a larger bowl, beat butter and 1 cup sugar until pale and fluffy with an electric mixer, about 3 minutes. Add egg and beat to combine. Add milk and vanilla until just combined. The mixture may look a little curdled. It's okay, once you add dry ingredients it will come together* see post for tip. Add dry ingredients gradually, mixing until just smooth but well combined.
Pour into prepared cake pan. Arrange strawberries, cut side down, on top of batter, as closely as possible in a single layer, don't be afraid to really squish them together. Sprinkle remaining 2 tablespoons sugar over berries.
Bake cake for 10 minutes then reduce oven temperature to 325°F and bake cake until golden brown and a tester comes out free of wet batter, about 50 minutes to 60 minutes. (Gooey strawberries on the tester are a given.)
Let cool in pan on a rack.
Remove cake from pan by flipping it onto a plate and inverting it onto another. Thank goodness for parchment paper.
Serve with lightly whipped cream. Or Lemon Cream from another recipe, see note!