Banana bread is a nut bread and banana cake is a cake. Bake her a banana cake so that she can see the difference between the two. That will settle the argument. Cake is sweeter and lighter in texture. Bread is eaten with butter and cake is eaten with frosting.
Old-Fashioned Banana Cake
Cake:
3 very ripe bananas
3/4 cup granulated sugar
1/2 cup lightly packed brown sugar
1/2 cup vegetable oil
2 extra large eggs, at room temp
1/2 cup sour cream
1 tsp pure vanilla extract
grated zest of one orange
2 cups flour
1/2 tsp kosher salt
1 tsp baking soda
1/2 cup chopped walnuts
"cream cheese" frosting:
8 ounces neufchatel cheese (or cream cheese)
1 tsp pure vanilla extract
2 cups powdered sugar
for the cake:
Preheat the oven to 350.
Grease and flour a 9 x 2 inch round cake pan
Mix the bananas, sugar and brown sugar on low until combined. Add oil, eggs and vanilla, sour cream and orange zest and mix until smooth.
Add the dry ingredients in thirds and mix on low until just combined.
Stir in the walnuts.
Pour batter into prepared pan and bake for 45-55 minutes, until a pick inserted in the middle comes out clean.
Cool in pan for 15 minutes then turn out onto cooling rack.
While cake is cooling, make the frosting.
for the frosting:
Mix neufchatel cheese, and vanilla until just combined. Add the powdered sugar and mix until smooth.
Spread evenly over the cake and garnish with more walnuts, if desired.
Cooks notes: I've made this with Greek yogurt instead of sour cream and that works well. I've never put orange zest into the cake, so have no idea what that does to it.