At last, after trying more than a dozen possible configurations that 
various people suggested (just a few of which I've reproduced below), 
I finally figured out the magic formula for the /boot/grub/menu.lst entry 
to get Xandros to boot as a second multiple-boot option via the GRUB 
boot loader that Mepis Linux set up as the first Linux distro that I 
installed on the new system I just finished building. Here it is: 

title Xandros 
kernel (hd0,4)/vmlinuz root=/dev/hda5
initrd (hd0,4)/boot/initrd-2.4.24-x1.gz

-------------------------------------------------------------------
Thanks to all who offered suggestions, especially Bart Garst 
who last wrote the following: 
> I noticed the lilo.config uses /vmlinuz as the kernel image and the
> menu.lst uses /boot/vmlinuz-2.4.24-xl. I realize this may sound like a
> stupid suggestion, but is /vmlinuz a link to /boot/vmlinuz-2.4.24-xl?
> If it is, I have a last ditch suggestion. Install lilo on the boot
> sector of /dev/hda5, and have grub transfer the boot process to lilo.

Yes, the /vmlinuz is a link to boot/vmlinuz-2.4.24-xl, and that, 
apparently, was the root of the problem. 
-------------------------------------------------------------------

All of the following (and many, many more) did _not_ work: 
#1:  
title Xandros
root (hd0,4)
kernel /boot/vmlinuz-2.4.24-xl root=/dev/hda5
initrd /boot/initrd-2.4.24-x1.gz
boot
# with and without 'boot' at the end

#2: 
title Xandros 
kernel (hd0,4)/boot/vmlinuz-2.4.24-xl root=/dev/hda5 
initrd /boot/initrd-2.4.24-x1.gz 

#3:
title Xandros 
kernel (hd0,4)/boot/vmlinuz-2.4.24-xl root=/dev/hda5 
initrd /boot/initrd-2.4.24-x1 
# with initrd gunzipped in hda5 /boot/grub 

#4: 
title Xandros 
kernel (hd0,4)/boot/vmlinuz-2.4.24-xl root=/dev/hda5 

#5: 
title Xandros 
kernel (hd0,4)/boot/vmlinuz-2.4.24-xl ro root=/dev/hda5 

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