Shortstack51,
Good questions. To start, if she wants to get a job straight out of graduate school, she should get her specialist (EdS). A specialist is a step up from a master's degree but not as high as a doctoral degree. An EdS takes three years. I'm not sure where you heard that some states just want a BS for certification. But no one can become a school psychologist with just an undergraduate degree. A lot of people pursuing PhD and PsyD are interested as obtaining jo bs in academia. That is, becoming professors. Others want to be a school psychologist and then be a professor of school psychology at a college/university.
Generally, PhD do send their invitations out earlier than do EdS. If she has not received any feedback yet, no need to worry. There is still time.