Slink, Redhat, Windows boot from lilo?

[ktb <xyf@inebraska.com>]

I've looked through the archives, lilo documentation and howtos.  I'm
either not understanding this or am not seeing what I need.  I have
windows 95 on hda.  Slink and Redhat 6.0 are on hdb.  Slink's bootable
root partition is on hdb3 and Redhat's is on hdb1.  I have lilo
installed now through Redhat.  The condensed lilo.conf is:

image=/boot/vmlinuz-2.2.5-15
    lable=redhat
    root=/dev/hdb1

other=/dev/hda1
    lable=95
    table=/dev/hda

image=/boot/vmlinuz-2.2.5-15
    lable=slink
    root=/dev/hdb3

As it is I can boot to all three os's but the kernel I have compiled for
Slink is 2.0.36.  When I boot from lilo into Slink at this point it
doesn't boot my custom kernel, which is not surprising since lilo.conf
says "image=/boot/vmlinuz-2.2.5-15."  I changed that line to read,
"image=/boot/vmlinuz-2.0.36" but then I get an error when I run
/sbin/lilo that that file doesn't exist.  So what do I do here?  Do I
copy my Slink kernel to /usr/src on the Redhat side?  If so how do I do
that?  I would rather have lilo set to boot directly into Slink first as
I've never used Redhat before.  I tried setting up lilo from the Slink
side but didn't get anywhere.
Thanks,
kent