Preheat your oven to 180°C (350°F) and grease a 20cm (8-inch) loaf tin, then line it with parchment paper.
In a large mixing bowl, cream together the softened butter and granulated sugar until pale and fluffy.
Beat in the eggs, one at a time, ensuring each is fully incorporated before adding the next.
Sift in the self-rising flour and gently fold it into the mixture until just combined.
Stir in the lemon zest and juice until evenly distributed throughout the batter.
Pour the batter into the prepared loaf tin and smooth the top with a spatula.
Bake in the preheated oven for 45-50 minutes, or until a skewer inserted into the center comes out clean.
While the cake is still warm, prepare the drizzle by mixing the lemon juice and granulated sugar until the sugar has dissolved.
Use a skewer to poke several holes all over the surface of the cake, then slowly pour the lemon drizzle over the top, allowing it to soak into the cake.
Leave the cake to cool completely in the tin before removing and slicing into thick, generous portions.