FWIW, I'd read the first book so far (Luminosity) and I enjoyed it, despite being completely unfamiliar with the original Twilight novels (except by, ah, reputation).

ETA: I found it when someone on LW linked to it.

This is how I remember it happening (though 20 minutes of hunting around hasn't provided much evidence for this; then again, I allowed myself much more internet time those days): Cleolinda's snarky Twilight posts on livejournal --> audrey_ii's Jacob/Bella fanfic The Movement of the Earth on livejournal --> Luminosity.