In most cases, you should leave the eyelash alone. The eyelash will eventually work its way out of the eye. If you must, you can use a moistened cotton ball to gently swipe the eye (while it is closed) to encourage the movement of the lash to the outer corner of the eye. However, if this doesn't work and is causing your baby discomfort, be sure to stop. Never poke anything, including your fingers, into your baby’s eye.