To find the names linked to a file, do something like the following:
find / -inum `ls -i FILENAME | cut -d' ' -f1`
Obviously, replace FILENAME with one of the names of the file.
If you want to shift the references to the file, why not do this:
mv OLDFILE NEWFILE
cp NEWFILE OLDFILE
Now NEWFILE has the links, and OLDFILE does not.