To get them out, the katydid stretched its head forward as far as it could, and pulled out a tiny loop. Then it repeatedly pulled its head back, grabbed the antennae in its jaws and pulled its head forward again. Each cycle pulled out another half millimeter or so. When everything was finally out of the old shell, the new wings had to be pumped up, and that took so long we finally went to bed without seeing the job completed. But in the morning when we returned to the site, the katydid was gone, and so was the old shell.
Many insects eat their old shells so as to waste nothing.
It stayed there for 3 days, through sun and rain, and never moved more than a couple of inches. I met a grad student in herpatology from Cornell who was doing a lizard survey, and I showed him the lizard. He picked it up, looked at it, and set it down exactly where it had been, but the next morning, the lizard was gone. But when I posted this web page for the first time, I got some notes from various lizard people who assured me it's in the genus Corytophanes. These leafcutter ants were carrying their leaves through Wilson Garden.