Take eggs out of the fridge to warm. Preheat oven to 350˚F. Butter cake pans and line the bottoms with buttered parchment paper. If necessary, prepare buttermilk with milk and a squeeze of lemon juice or vinegar.
Soften the butter in the microwave. Beat together butter, oil, sugar, and lemon zest.
Add in eggs, beating, one at a time. Then add vanilla.
In a small bowl, combine all purpose flour and baking powder.
Turn the beater on low, and slowly add in buttermilk and flour mixture to the large mixing bowl, alternating a few times. Stop when batter has just combined.
Pour into cake tins evenly.
If baking 8″ cakes, bake at 350˚F for ~40 minutes, until tops are springy and edges brown. Baking time may be slightly less in 9″ pans.
While cakes are baking, prepare the Lemon Curd.
When cakes are nearly cooled, prepare the Simple Chocolate Icing.