Is it normal that my baby doesn't shed tears when she cries?

Yes: Your baby's tear ducts don't fully develop until 8 months of age. Also, your baby won't produce as many tears if the crying is not due to sadness or pain. Perhaps he/she is simply trying to get your attention.

Yes: Yes it is normal and common. Your baby does make enough tears to keep their eyes moist, but there is a system in place to properly drain the excess moisture into the nose. Babies who have a narrow or blocked tear duct (dacrostenosis) always seem to be teary and actually are the infants who may need intervention if they don't outgrow the problem in the first year.