Hi Don, it is still hanging on the garage wall, but if I scrape it off will I damage it? I assume it is already pupating. The next issue would be, that as the case is so tiny, what emerges (if anything) would be even smaller, and my camera would probably not be able to get a decent image of it. The one which I have had in a jar for two months, is similar but larger (maybe 1.3cm long), and it moves around eating for several days, then hangs in one spot for a few days, then goes off eating again, so I don't know how long it will do this for, or how I will recognise if it has started to pupate - except i guess it will stay in the one spot for more than a few days ... But I will keep an eye on this one where it is i guess, and hope I am lucky enough to see something emerge.
Scraping it off the wall may damage the case bit, but casemoth larvae are very quick to repair damage. You needed to take it off the wall and put it in an escape-proof container, It may have already eclosed and you never saw it happen. Or it may be just changing instar: that might take a week. Or it could be a flightless female, waiting for a male to visit. Or it may have died of some disease. If it has been stationary for more than a week, I would take it down, and carefully cut open the case to find out the situation. If it is still alive, it will rapidly repair the cut, quite happy that it was not eaten.