A myth that still lives among people nowadays is that there are more babies born during a night with a full moon than during the other nights of the month. This myth probably had its origin a few centuries ago.

It is known that streetlights (when there even were streetlights) gave very little light. When there would be a full moon and the doctor had to run off to a mother in labour, he'd find the streets more lit than on other nights. It is likely to believe that this struck his attention. He'd remember more clearly the births during the full moon, than the other ones, when asked afterwards.

Another explanation can be found in the fact that most people can hardly tell when the moon is fully lit. In the nights before and after a full moon, the moon looks full as seen by the naked eye. Therefore there will indeed be relatively more babies born during a 'full' moon.