Morphine is a very strong painkiller. Morphine overdose occurs when a person intentionally or accidentally takes too much of the medicine. This is for information only and not for use in the treatment or management of an actual poison exposure.orphine is a very strong painkiller. Morphine overdose occurs when a person intentionally or accidentally takes too much of the medicine. This is for information only and not for use in the treatment or management of an actual poison exposure.