We have this same Crazy Cake recipe that came with my dh 
This is the only cake his mom made when they were growing up, and she still makes it when people come over to the house.
It's very good, and even good without frosting. I made it more when we were first married, but not very much now. It's very moist.
Also, you can substitute milled flax seed for eggs as well. I use the Hodgson Mill brand. I was out of eggs when I started whipping up some banana bread and subbed the flax seed in. It turned out great. A slightly denser bread, but it still rose up nicely. The box says "1 TBsp. milled flax seed plus 3 TBsp. water can replace 1 egg."
Wife to Pastor Tim and Momma to April (2010 homeschool graduate/Cornerstone U.), Erica (2012 homeschool&culinary graduate/Ashland U.), Jacob (8th grade), and Jesse (K5).
Word for 2012-2013: Move. ~body, mind, and spirit