To add on to that bit about them stealing the name from an article in the NME: They were originally going to be known as the Pop Tarts until they read that article and thought it was a cool phrase.

In the late 1980's, Jeremy J. Beadle published a book entitled Will Pop Eat Itself? Though the Poppies are mentioned in this book, it is not about them, but rather a defense of sampling when it was in its relative infancy (as far as common use anyway).