Success!

There is a loop on the housing for the rubber band that is used as the camera strap. Right there where the front and back come together there is a slot in the plastic for a screwdriver blade. My daughter found the slot. Takes a pretty good twist.

I also took apart the main camera, which was probably sacrificial, but enlightening. It looks like it should be reloadable.

Of course after all that I found the real disassembly directions this morning. http://www.kodak.com/eknec/documents.../CIS225ENG.pdf

I'm going to skip step two.