According to your description (“small bumps along the eye lid”) you are probably experiencing some type of inflammation caused by an infection or allergy. You must first visit an ophthalmologist for a precise diagnose and proper treatment. An ophthalmologist might recommend Polysporin. Polysporin is a combination of 2 antibiotics (polymyxin B and bacitracin) and can be helpful in cases of bacterial eye infection. It has no effect in cases of viral infections or allergies but it won’t worsen the condition, either. It doesn't seem likely that you can harm the eye if you apply Polysporin to the eye lid.