File lost to NTFS / CHKDSK... Can it be retrieved?

I had made a very important backup of another hard drive that was about to go bad (failed the self-test and would not allow a boot up, was still able to access it when installed as slave). The backup was made using the Windows XP backup utility, made to a file, about 4 GB in size, on my desktop. The file was named "Backup.bkf". After the backup, a few things later required the system be restarted. On restart, Windows XP informed me that my hard drive needed to be checked for consistency. Not knowing exactly what might be wrong, I foolishly allowed the disk check to proceed. Among other things, CHKDSK reported such things as:
------------------------------------------------------
Attribute record of type 0x80 and instance tag 0x4 is cross linked starting at 0xc5714 for possibly 0x1 clusters.
(above repeated once more)

Some clusters occupied by attribute of type 0x80 and instance tag 0x4 in file 0x6b0 is already in use.
Deleting corrupt attribute record (128, "")
------------------------------------------------------

These errors showed up multiple times for many different records in the file-system, each with the first message repeated twice, followed by the message about "some clusters occupied..." and "deleting corrupt attribute record..."

After getting back into Windows, the backup file was missing.

Any chance of getting it back, or is that a pipe dream? The other drive cannot be backed-up again, sadly, and the info was important.