Hi, I have a chick, who the day after I brought her home, had her eye shut. Come to find out, one of the other chicks was pecking everyone's eyes. Jeez!! So I cleaned it up with sterile water, and it seemed to get better until day 4, then I noticed a little goop and crust. I was at the vet that day for my horse, so I asked him about it, and he gave me a triple antibiotic ointment to put in her eye. He said to give it atleast 5 days, and if it was working to continue for 10 days, 3 times a day. So today is day 7 and the eye is pretty much back to normal. She, too, was acting completely normal, aside form the eye injury.
So maybe the ointment may help your baby.