Unfortunately, you can't and shouldn't expect your little one to sleep through the night at one month. Their tummies are so small they can only eat a little at a time and therefore have to eat more often. If your child slept through the night at this early stage, it's health and growth would be affected. I know you are desperate for sleep...my son is only 4 months old so I was just there myself. But this newborn time is all about the baby and not about us...that's what we agreed to when we accepted the new title of "Mom". Please do NOT start feeding your child cereal even if it's mixed in their bottle. A newborn's digestive system is not ready for cereal until they are at least a few months old so feeding them cereal too soon could cause them health issues and a lot of discomfort. Is it fair for a baby to suffer just so Mom can get a couple extra hours of sleep? I don't think so. This time will soon pass and in just a few months your baby will sleep for longer periods and you'll get to sleep more, too. Until then, just remember nightly feedings are for the health of your child and that you are a good Mom for looking out for your child's best interests.