From a logical perspective, and I am not saying that it always works that way....but I would rig first then texture. Most often you would want to see how the model acts before putting in the hours for texturing. After rigging is done and you are happy, texture away!.....and then it's tweakin time because you will have to make sure you textures don't get all messed up when the model is animated.
But that's the way I would do it.....rig then texture.
I don't think artists color their drawings before checking the movement.....ie in cell animation.
But hey....that's just my take on it