Place the pork in 6-quart or larger slow cooker.
Sprinkle with the salt and oregano, and toss to combine.
Tuck the peach, onion, garlic, and bay leaves among the pork.
Pour in the water and lime juice.
Cover and cook until fork-tender, about 8 hours on the LOW setting, or 4 to 5 hours on the HIGH setting.
When the pork is ready, arrange a rack about 6 inches from the broiler and heat the broiler to high.
Line a rimmed baking sheet with aluminum foil.
Using tongs or a slotted spoon, transfer the pork to the baking sheet. (Discard the juices or strain out the solids and save for another use.)
Use a fork to slightly shred the meat into an even layer.