The purpose of this study is to compare two different medicines to treat babies with opiate withdrawal. The treatment medicines are morphine, which is an opiate, and clonidine, a non-opiate. Morphine is a narcotic medicine, with is included in most pain killers. Clonidine is another drug, but is different from morphine. It is also used for babies, and even adults for withdrawal symptoms. Both drugs are effective, but the purpose of this study is to see if one may be better than the other.