C.C.
My daughter had the same thing on one eye. I had her to the doctor several times. He had me use regular saline solution .... finally when she was about 17 months old, it just cleared up. I don't know that I'd let them do surgery on her unless she was having constant infections.
If you want to good pediatric eye doctor, go see Ann Ranelle - she's the absolute best in the metroplex....she saved my eye a couple of years ago and will not do anything unnecessary. She's very patient, has small children and is wonderful with kids especially. I trust her completely. She's in a practice with her father off of Camp Bowie.