Failure to boot into Linux

[Rolf B Johannesen]

Dear Sirs:
I have a computer system with a 40 Gb hard drive.  30 Gb is partitioned
for Windows XP and the rest is partitioned for Linux.  I regularly boot
Linux from  a floppy, but I would like to get GRUB installed on the hard
drive eventually.  As a start I have copied GRUB to a floppy.  I can boot
into Windows successfully using the chainloader command.  But I cannot
boot into Linux.  Below is the sequence of commands and responses that I
get.  It is consistent.

start by booting from floppy

GRUB loading Stage 2
GRUB version 0.92 (640K lower / 261056K upper memory)
[Minimal BASH-like line editing is supported.  For the first word, TAB
lists possible command completions.  Anywhere else TAB lists the possible
completions of a device/filename]
grub>root (hd0,4)
        Filesystem type is ext2fs, partition type 0x83
grub>kernel  /vmlinuz  root=/dev/hda5
        Error 15: file not found

The Linux /boot directory lists vmlinuz as a link, and it also lists 4
other files beginning with vmlinu, then either x or z, followed by
-2.14.18-4  I have tried all possible combinations on the 'kernel' line
with no success.  I also tried 
kernel  /boot/vmlinuz  root=/dev/hda5

When I boot from the Linux boot floppy, I get a message telling it is
booting from /dev/hda5, so that is correct.  Please suggest what I am
doing wrong.