my dear daughter experienced this alot. it is called a blocked tear duct and can be common about newborn.
i brought her to the pediatrician and he gave a tear drop to clear her blocked duct.
i forgot the name of the tear drop but i saw it available at guardian pharmacy and it is very cheap.
just about 2 weeks the max, the tear duct will clear off.
maybe you would like to bring her to the pediatrician to get the medicine?