Haddon Hall Gingerbread

Ingredients

• 4 tablespoons unsalted butter, softened
• 3/4 cup brown sugar (firmly packed)
• 1 egg
• 3/4 cup milk
• 1 1/2 cups cake flour
• 2 1/2 teaspoons baking powder
• 1/4 teaspoon salt
• 2 teaspoons ground ginger
• 1 teaspoon mixed spice
• 6 ounces cream cheese, very soft
• 1 1/2 tablespoons milk
• 3/4 cup powdered sugar
• 1 1/2 tablespoons lemon zest
• 1 teaspoon brandy
• 1/2 cup granulated sugar
• 1 tablespoon cornstarch
• 1 cup water
• 2 tablespoons unsalted butter
• 1/2 teaspoon lemon zest
• 1 1/2 tablespoons lemon juice (strained first)
• 1/8 teaspoon salt