How do you mount a LVM patition that has the same VG name as my current partition

I had a similar issue on my system. I just renamed the external logical volume group.

Beware that this probably makes the renamed drive unbootable! I don't know which files you have to change so you can boot again afterwards.

First get UUID of group to rename. I used

$ sudo vgdisplay

  --- Volume group ---
  VG Name               mint-vg
  System ID             
  Format                lvm2
  Metadata Areas        1
  Metadata Sequence No  3
  VG Access             read/write
  VG Status             resizable
  MAX LV                0
  Cur LV                2
  Open LV               0
  Max PV                0
  Cur PV                1
  Act PV                1
  VG Size               119,00 GiB
  PE Size               4,00 MiB
  Total PE              30464
  Alloc PE / Size       30464 / 119,00 GiB
  Free  PE / Size       0 / 0   
  VG UUID               jWIQCX-uxUT-aG1x-1tpc-1Ixk-pxw2-gL6mlJ

  --- Volume group ---
  VG Name               mint-vg
  System ID             
  Format                lvm2
  Metadata Areas        1
  Metadata Sequence No  3
  VG Access             read/write
  VG Status             resizable
  MAX LV                0
  Cur LV                2
  Open LV               2
  Max PV                0
  Cur PV                1
  Act PV                1
  VG Size               238,23 GiB
  PE Size               4,00 MiB
  Total PE              60987
  Alloc PE / Size       60987 / 238,23 GiB
  Free  PE / Size       0 / 0   
  VG UUID               TZus4Q-JQKU-eyyl-kkEv-liM4-mUXd-e19TcT

I want to rename the first one. Because this is my thumb drive.

Now I know the UUID and can execute a rename. Maybe a mount could also work with the UUID but I didn't care about it.

   $ sudo vgrename -v jWIQCX-uxUT-aG1x-1tpc-1Ixk-pxw2-gL6mlJ mint-stick

   Checking for existing volume group "jWIQCX-uxUT-aG1x-1tpc-1Ixk-pxw2-gL6mlJ"
    Checking for new volume group "mint-stick"
    Archiving volume group "mint-vg" metadata (seqno 3).
    Writing out updated volume group
    Renaming "/dev/mint-vg" to "/dev/mint-stick"
    Creating volume group backup "/etc/lvm/backup/mint-stick" (seqno 4).
  Volume group "mint-vg" successfully renamed to "mint-stick"
    Wiping cache of LVM-capable devices
    Wiping internal VG cache

To mount an external hard-disk (LVM2 and EXT4 partitions):

1. Check the UID number of the hard-disk

   sudo vgdisplay
   

2. Mount your hard-disk:

   sudo vgrename <UID> volgroup
   

3. Activate the mount volume:

   sudo vgchange -a y