Update — well this isn’t the goldmine I was hoping for, and the backstory isn’t very exciting on this precious cover. It appears that sometime in March of 2006 there was a contest wherein book designers created pulp covers for classic literary works, Little Women being among them. I find it interesting that the artist for this cover (Rebecca Cohen, Coco Co.) made the cover actually look aged and well-read, dog-eared and loved for several years.
Check out the other 5, including the Illiad and Alice in Wonderland (my other personal favorite). http://www.slate.com/id/2142392/