The converted OttLite hit the floor again and, this time, the shell around the lamp popped free. Given that I didn’t know how to take it apart before, this is new news.
There’s a small snap latch inside the bottom / inner surface:
And two guide notches + latch nubs inside the top / outer surface:
So, if you had to get it apart by hand, a spudger-like tool applied to the bottom / inside of the shell and a bit of tugging should do the trick.
It snapped back together without incident, but I really must figure out a bigger base for the damn thing.