Does morning crust in my babys eye mean there is an infection?

Not necessarily: Based on what you are saying, most likely not. Babies have a tendency to develop minor crusting simply because their tears pool a bit more and thus create more crust. Babies have a tendency to have a blocked tear drainage duct and thus have more crust. If the white part of the eye is not red, and there is no red or swollen eyelid, then there is unlikely to be an infection - i.E no pink eye.

Not typically: Many infants will have crusty eyes, especially in the morning, in the first 6-9 months. This is a condition known as dacryostenosis, or a narrow tear duct. Although antibiotics are often prescribed for dacryostenosis, they don't help long term. Signs of infection include fever, pain, bloodshot eyes, sensitivity to light, redness of the skin around the eye or drainage that is thick yellow/green.