I believe this is the one you want: http://elrepo.org/linux/elrepo/el5/i386/RPMS/kmod-r8169-6.010.00_NAPI-2.el5....
Or if you're running the Xen kernel: http://elrepo.org/linux/elrepo/el5/i386/RPMS/kmod-r8169-xen-6.010.00_NAPI-2....
Once you get your network setup right, I advise you to set up the elrepo repository (see http://elrepo.org for instructions on how to do it) so you get updates for this module once newer versions are released.
Thanks Filipe
Never knew about this repo.
Will try and post back.
Sanjay.