Sorry to hear about the gruesome events but at least some good outcomes for you :-)
Serious question to others more experienced with mothering on though. Is there any data or experience out there about which methods work best? Skinning a dead lamb might be worth doing if it is more effective at getting a ewe to accept another lamb but if it is no more effective than, say, covering the other lamb in fluids from the amniotic sac and rubbing under the ewe's nose, why do it? The latter is quicker, easier and much less gruesome.