while following an object with her eyes is when eye coordinatio develops

Answer 1

Is that all of the question?

When an infant follows an object with her eyes, she's showing some eye coordination, but I wouldn't say that it's fully developed at this time.

Answer 2

http://www.circleofmoms.com/due-in-january-2010/following-objects-with-their-eyes-502023

And, all babies develop differently, on different schedules.