This child is still nursing occasionally, and I suggested that breast milk in the affected eye might contain some enzymes that would help alleviate the condition. This has seemed to work for our own 6 week old son recently. I have heard this might work too. We had a similar problem after getting the ointment when our daughter was born. Our son did not have one thing foreign introduced into his being after his birth and all is well.
Every kid is different.
Tears contain natural antibiotic components many times more powerful than any we have commercially available. If you don't see many children this will be a great treat for you. Go slowly, gently and pretty much same as for big dudes only lighter, softer. Make a tea, strain out the residue, use an eyecup to apply. Sure enough, the conjunctivitis would disappear overnight.