After paying more attention:
things think that libc.so. is in /usr/lib sometimes, e.g.
/usr/bin/login:
-lutil.7 => /usr/lib/libutil.so.7
-lc.12 => /usr/lib/libc.so.12
-lcrypt.1 => /usr/lib/libcrypt.so.1
-lpam.4 => /usr/lib/libpam.so.4/usr/lib/libc.so.12 is a symlink to the one in /lib, but that is where the binary thinks it should be.
