I just have never done rsync before so I wasn't sure how it would work with a mounted LV.
Here is what I have done so far:
mkdir -p /mnt1/mnt_rsync/VolGroup00-LogVol00
lvcreate -L592M -s -n VolGroup00-LogVol00-rsync /dev/VolGroup00/LogVol00
mount /dev/VolGroup00/VolGroup00-LogVol00-rsync /mnt1/mnt_rsync/VolGroup00-LogVol00
rsync -a -e ssh /mnt1/mnt_rsync firstname.lastname@example.org
I have to do some more testing and may need a more specific destination as I will be doing this with about 10 or more other LVs.