Here are pictures of the underside. I think the shuttle is in there.

Thanks for all that info, Steve. I knew I could count on someone here to point me in the right direction. Is the 12 the New Family? (I'm tabula rasa for anything prior to about 1953.)
The decals are almost completely gone. All that's left of most is some yellowed ghosting and a few roses/leaves that are severely compromised. I believe the pattern is the famous "Tightwad-ora" pattern. Once I know more, I'll make a decision on stripping and repainting but right now I think it looks kinda like hell.