After installing an older version of Fedora, I noticed an error message that quickly appeared every time the system boots and its starting the many services that Linux uses:
/var/lib/pgsql/data is missing
The solution to this PostgreSQL problem is shown with the error message but the screen scrolls very quickly (or is unreadable with a very fast computer) so its difficult to catch. The command to correct this issue is:
service postgresql initidb
Run this from a command console (i.e. Konsole) and then the Postgres database will operate correctly.