Preheat the oven to 350 degrees.
Grease a 9x13 baking pan.
In a mixing bowl cream together the butter and 1½ cups sugar together.
Add the flour, salt, baking soda, 2 eggs, 1 tsp vanilla, and milk. Mix well.
Lastly, mix in the mashed bananas.
Pour batter into the greased baking pan. Set aside.
In a mixing bowl cream the cream cheese until smooth. Add in 1 tsp vanilla, ⅓ cup sugar, and 2 eggs. Mix until smooth.
Drop by spoonsful over the cake batter. Do not mix.
Bake for 30 minutes, or until a toothpick inserted into a cake section comes out clean.
Remove from the oven and cool.