Pat turkey legs all over with a paper towel to dry. Season with 2 teaspoons salt and 1 ½ teaspoons pepper, making sure every surface is covered.
In a large skillet, over medium-high heat, add the oil. When oil is hot and shimmering, place legs in skillet skin-side down and cook, without moving, until skin is deeply golden brown, about 6 to 8 minutes. Flip legs and cook until the second side is browned, about 3 to 5 minutes. Remove from heat.
Place the browned turkey in slow cooker and add remaining ingredients. Season with the remaining 1 teaspoon salt and 1 teaspoon pepper. Cover and cook on HIGH for 4 to 4 ½ hours, or until turkey is completely tender and falling off the bone.
Transfer the legs to a plate. Once turkey is cool enough to handle, remove the skin and use two forks to shred the meat and remove from the bones.
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