Lord Sesshomaru and the Inu Demon Girl

My name is Yuzuki. I have lost my memories and have no idea who I am other than I am a dog demon with ears and a tail and can transform into a larger dog. The moon told me my name, but since then it has not spoken to me. I was rescued by a dog demon named Sesshomaru. No matter where I go he seems to be there, so there is nothing left for me to do but join him and his two companions. I seem to find myself interested in him.