"linux single" security concern

["Adam Alexander" <adam tjconline com>]

I work at a cybercafe where we are considering setting up several linux
machines in addition to our current Windows98 machines.  We will most
certainly be using Red Hat 5.2 for this, but I am concerned by the fact that
under the default install, it is possible to type "linux single" at the lilo
prompt and boot into a root shell with no password.  I know it is possible
to add a password to the lilo.conf file to disable this, but I would much
rather allow it to work BUT ask for the super-user password before going on
to the shell.  Is this possible?  If anyone has any ideas please let me
know, along with any other tips on securing a machine that we will be
allowing the general public to use, sometimes without very close
supervision.

Thanks in advance,

Adam Alexander