Beat 1 egg slightly and add to the butter mixture with 2 tablespoons milk, 2 tablespoons heavy cream and 1 teaspoon vanilla extract .
Mix lightly with a fork or spoon. It will be floury but, if you take some of the dough in your hand and squeeze, it will come together.
Add 1 ½ cups semisweet chocolate chips and stir to mix. If you think they're too many, start with 1 cup.
Transfer this whole shaggy mass to a clean surface.
With your hands (I also use a dough scraper) start bringing the dough together, folding it onto itself as best as you can. Don’t knead it as you would a pie dough. It only needs to be patted into a rough circle. There will be floury patches but it will hold together when you press it.
Transfer the dough circle to the prepared baking sheet. Cut in half and each half in 3 wedges with a kitchen knife or the dough scraper.
Pop into the freezer for 10 minutes or the refrigerator for 20 minutes while preheating the oven.
Preheat oven to 375°F (190°C).
Bake for 10 minutes, turn the oven down to 350°F (180°C), and continue baking for about 20 minutes until the top is golden briwn and dry.
After 30 minutes, take out the sheet and check that the scones are done by carefully lifting the top of one and checking that the inside is done and not still raw. Bake for 5 to 10 more minutes if needed.
Let cool on a wire rack.
Store at room temperature, covered, for 1 to 2 days and warm slightly in the oven before eating.