Time Machine not listing external drive for available backups for 'Select Disk'
I have an existing TM backup and am trying to add a second disk so I have multiple backups, something I've done many times before. My MacBook Pro is not listing the external drive when I click 'Select Disk'. The most common cause is not formatting the drive correctly, so I confirmed it's Mac OS Extended format (Journaled). What is really odd is that I have another MacBook Pro with a different Time Machine backup, and when I click 'Select Disk' the disk in question is available to create a backup.
Why would a disk be available to create a TM backup on one computer and not another? I've unmounted and mounted the disk through Disk Utility quite a few times, reformatted the disk with a different name, it's still not listed as available.
Thanks for advice on this.
MacBook Pro 15″, macOS 10.14