banana boat cake — Les Petites Gourmettes

Ingredients

• 1½ cups milk
• 1 teaspoon vanilla
• 2½ tablespoons lemon juice, divided
• 3 large or 4 small bananas
• 3 cups flour
• 1/2 tablespoon baking soda
• 1/4 teaspoon salt
• 1/2 cup butter, room temperature
• 1 cup granulated sugar
• 1/2 cup brown sugar
• 3 eggs
• 2 tablespoons butter
• 2 tablespoons milk
• 1/2 cup packed brown sugar
• 1½ cups powdered sugar
• 8-ounce cream cheese, room temperature