Enlightenment is a window managerm, so yes, it definitely needs gnome.  Gnome is the GUI, which runs on X, and enlightenment is a tool which tells your windows how to behave.  So you need all three.  Sawfish is the new "default" window manager shipping with redhat 7, but all recent versions of redhad install with Gnome by default. 
Have you ever been able to get into an x-windows session at all?  sounds like not.  You would generally change from one window manager to another AFTER you start Gnome/x-windows.  You can use the linuxconfig tool to select which window manager to you.  I am sure you could do this from a acommand line as well, but I have no idea how.
I think what you are doing wrong is that you do not have your system properly configured, and, no offense, but you need to read the documentation included.  I highly recommend you read the "getting started guide" or if you don't have it, go downlaod it from 
www.redhat.com"
I don't use graphical login, but you should be typing either "root" or one of your account names on the login line, which would get you a password line.  Type in your password and hit enter.  In a non-graphical log in, you would type "startx" to start the x-windows sessions (i.e., gnome with enlightenment)
If this is all greek to you or if you don't know your root password, I would suggest you re-install redhat using all of their suggested defaults, and you can create the root account/password (write it down..don't forget it) and start over