Well, I made it with little modifications. I substituted the butter for coconut oil, used home-made chicken broth, and instead of milk, cheese, and heavy cream I used coconut milk. I did not use the coconut milk whole, I did not shake it so the thick cream stayed at the top and only used that, about a cup and half or so. I didn't add parsley or any of the greens she had listed as optional, but I do think they would work well in it, especially maybe some spinach.
My version is not completely paleo, because I did include the white potatoes still.