I'm a little late in responding so I H. you take time to read this. I disagree with the other responses that recommend a bed time snack. You are creating a habit that is not necessary or healthy. The reason for dropping the bedtime feeding is because by one year, a "normal" child should be getting enough calories during the day with his/her three meals and snack times that the evening bottle is unnecessary. It's a routine that can and should just be dropped as far as feeding goes.
I recommend replacing this together time with story time. Reading is a good way to cuddle, a good way to settle down for the night, and reading is an essential part to a child's development.
Your child will not starve just because 8 ounces of milk are not in his or her tummy, and your child's sleeping habits should be such that waking in the middle of the night should not be an issue (at least as far as hunger is concerned).
I've had four children, and my siblings have had another 24 between them, and we have all gone this route with 100% success. And with one of my siblings being a pediatrician, it has had his stamp of approval.