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Preheat the oven to 350 degrees F.
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Grease and flour a large loaf pan.
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Zest the lemons. Fillet five of them and juice the 4th one.
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Cut the fillets in pieces and in a small bowl toss them with the 1/4 cup sugar. Set aside.
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In a separate bowl, whisk together the flour, cornstarch, baking powder, 3 teaspoons of the ground vanilla beans and salt. Set aside.
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Beat the 3/4 cup sugar together with the butter until creamy.
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Beat in the eggs and sour cream.
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Add 1 tablespoon of the lemon juice
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Add the zest, reserving 1 teaspoon for the glaze.
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Add the dry ingredients and beat until just combined.
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Fold in the Meyer lemon pieces.
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Transfer the batter to the prepared pan. Place in the oven and bake for 40 minutes or until a knife inserted in the middle of the cake comes out clean.
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Remove from oven and let cool for 10-15 minutes. Remove from pan and transfer to a wire rack placed over a parchment lined baking sheet to cool completely.
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In a separate bowl, whisk together the remaining lemon juice and the powdered sugar.
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Add the 1/2 teaspoon of vanilla beans and remaining teaspoon of zest to the glaze. If the glaze is too thick, add water, one tablespoon at a time until it reaches a pourable consistency.
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Pour the glaze over the top of the completely cooled cake.
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When the glaze has hardened, slice and serve.