This is Bernadette of Lourdes, who died in 1879. Her body has never decayed, or so they claim. This is one of the Top Ten Incorruptibles. TOP TEN? How many ARE there?
Go to Amazing Facts if you want to see more of these things. What occurs to me is, who sits around with corpses to see if they start to decay? Is this the usual practice amongst Catholics now? What if they are so nice they donate their organs to science?