Eeek, I don't have any advice for you Tokie, but here's a link that both validates the freezing method (72 hours at 0°F, thaw without removing from the plastic and repeat) and tells you how to identify clothes moths. Let's hope the moth in your drawer was some random other species that just happened to get in there.

Related: what's everyone's favorite source for darning yarn?

Unrelated: long sleeve Ibex midweight crews half price in black or white. Men's and women's both ... I'm getting one for me and one for DH's birthday.