Hi Lauren, happy early birthday to you and Scooter!! I have not tried this one but it sounds good. I dint know about the oil either.
1 cup white or whole wheat flour
1 tsp baking soda
1/4 cup peanut butter
1/4 cup vegetable oil
1 cup shredded carrots
1 tsp vanilla
1/3 cup honey
1 egg
Directions:
Preheat oven to 350°F (180°C)
Mix together flour and baking soda. Add remaining ingredients and mix well. Pour into a ring mold sprayed with a nonstick spray for 40 minutes.
Frost this cake with low fat cottage cheese and decorate with carrot pieces. Store in refrigerator.