There is nothing profoundly supernatural about a solar eclipse. They can be calculated decades, even CENTURIES in advance. The science behind eclipse prognostication was already well developed enough that Christopher Columbus told the natives holding he and his men captive that a lunar eclipse was about to occur. The Arawaks were impressed (terrified is the better way to put it) when it happened and let Columbus and his crew go.
Green is implying that an eclipse is a divine omen. Maybe if one happened spontaneously, but then you're going to get all kinds of gravimetric stresses and horrific tidal effects upon the planet.
There is an average of two or three eclipses each year. They are an awesome visual spectacle, but also rather mundane so far as mathematics is concerned.
As said earlier, Green is doing nothing good when she talks like this.
Agreed about the eclipse; however, an increase in earthquakes is a Biblical sign of the end of the age.