Preheat the oven to 350 degrees and grease the bottom and 1/2 up the sides of an 8x4x2 inch loaf pan.
In a medium bowl, stir together the flour, sugar, baking powder and salt. Make a well in the center and set aside.
In another bowl, stir together the beaten egg, milk, cooking oil and lemon juice. Add the wet mixture all at once to the dry. Stir just until moistened (batter will be lumpy.) Fold in the lemon peel.
Pour the batter into the prepared pan. Bake at 350 for 50-55 minutes or until a toothpick inserted near the center comes out clean.
While the bread is baking, stir together the lemon juice and sugar for the glaze.
Brush onto the finished loaf while it is still in the pan (right after removing from the oven.) Cool in the pan on a wire rack for 10 minutes. Remove from pan and finish cooling. Wrap and store overnight before serving for best results.