This solved my problem. In Windows XP I removed MobileMe with using Control Panel -> Add Remove Software. I followed the Apple instructions in Apple Tech Note shown at the end of this email.
However, the Apple Tech Note does not specifically say to remove MobileMe. That is the missing step. MobileMe causes the "AppleSyncNotifier.exe" error message.
After I did all of Apple's instructions, then....
I went to C: [backslash] Program Files and made sure that Mobile Me was removed.
When I restarted WIndows XP, the "CoreFoundation.dll was not found" error was gone.
Since I use Windows XP in Parallels Mac for only a few special tasks, I removed all of iTunes and the related parts -- MobileMe, Bonjour, and others.
See this Apple Tech Note for how to remove iTunes from Windows XP:
Removing and Reinstalling iTunes and other software components for Windows XP
http://support.apple.com/kb/ht1925