This sounds pretty important whether it is for you to learn something from a distance, or because she is a specific special soul meant to interact with you due to your spiritual connection before birth.The most important thing is always honesty. You should let her know these unusual syncronicities you have noticed and that you believe they are significant. That maybe one or both of you is meant to learn something from the other in this life.
This may either draw her closer or repel her. Even if she is repelled she might think of this encounter years down the road and attempt to contact YOU. Or she might want to see if a friendship is possible. From there you will both get to know each other and find out what your relationship is supposed to be.
------------------
~ did you ever get the chance to dance along the Light of day? ~