Paula Deen's Lemon Blossoms

I was watching one day Paula's Home Cooking, and she shared this recipe for a dessert that, while not necessarily an eye dazzler, seems quite yummy, good for bringing to a party.

1 box yellow cake mix
4 eggs
3.5 oz lemon pudding
3/4 cup veg. oil

Pre-heat oven to 350.
Mix all ingredients in bowl, beat 2-3 minutes, turn up to medium speed 2 minutes.
Use a mini-muffin pan, fill 1/2 full. Bake for 12 minutes.

Glaze
1 lb. confectioner's sugar (sift out the lumps)
zest 1 lemon
3 tbs. oil
3 tbs. water
1/3-1/2 cup fresh lemon juice
stir in pan, thickens slightly.

Take cakes out of muffin tin, pierce bottoms with fork and immerse in glaze.