OK, so I took Pete's advice, and did an ftp install of Core 7 from download.fedora.redhat.com. It seemed to work all right, until it started to actually install, at which point I got an error message that the package libxml2-devel-2.6.28-2.i386.rpm couldn't be found, or was corrupt. Now what? If Fedora's own server doesn't have the file right, who does?

[Update at 12:30 PM EDT]

OK, I switched to the University of South Florida, and it's installing packages now. There may be some light at the end of this tunnel.

[Update mid afternoon]

Well, I'm the father of a bouncing baby Fedora Core 7 system. Now to see if I can mount my old drive and get the data off it...