I tried hooking up via USB to my computer. Here the white light shows up, but the phone won't turn on in this stage. Conversely, when I plug it into the wall, there is no white light, but the phone will at least stay on. Battery level still maintains a 5% level and my battery status under phone info says "Unknown"
I left it plugged into my USB throughout the night. I was woken up periodically as the phone sort of cycled in and out of charge and turned on and off.
I've done several battery pulls trying to fix it to no avail.