Thanks, MOE for the suggestions.
LXDE on the Zenwalk drive has Shutdown, Reboot, Hibernate, Suspend, Switch User and Logout buttons when you click the Logout button in the Menu, and they all work.
LXDE on VectorLinux Light is missing the Hibernate button/option when you click the Menu's Logout button, and nothing happens when you click the Suspend button, although all the other buttons work.
You mean I should edit /etc/lilo.conf? Zenwalk uses lilo too. Comparing the /etc/lilo.conf file on both hard-drives, I see that Zenwalk's lilo.conf file has a line at the top which is missing in VLL's lilo.conf file:
append="resume=/dev/sda5 splash=silent "
/dev/sda5 is the "swap" partition on Zenwalk Linux. The swap partition on VLL is /dev/hdb6, so I added the line:
append="resume=/dev/hdb6 splash=silent "
to VLL's /etc/lilo.conf file, at the top, immediately under # Start LILO global section.
Unfortunately Suspend is still not working in VLL. What more must I do? This is a slightly academic question as far as I am concerned, as I rarely use the Suspend feature, but for the benefit of other VLL users who may be following this thread and would like to add LXDE as an option to their OS and get it running properly, as well increasing my own knowledge and understanding of Linux, I should like to know the answer.