Peakwolf wrote:
Backups have failed because there isn't enough space on the external hard drive (both Seagate Expansion Drive and WD My Book). I thought that Time Machine erased the oldest backups to make space? Is the only option to delete the backups from the older disk and start again on that?
What is the whole picture...
Was this an old TM backup from a previous macOS and then you upgraded to Catalina???
With the introduction read-only system volume in macOS Catalina it does not play well with existing TM backups—
Yes your best bet is to erase/reformat and start a new with TimeMachine.
About the read-only system volume in macOS Catalina - https://support.apple.com/en-us/HT210650
3-2-1 Backup Strategy: three copies of your data, two different methods, and one offsite.
Boot clone https://discussions.apple.com/docs/DOC-10081
How to use Time Machine to back up or restore your Mac: https://support.apple.com/en-us/HT201250
Use DiskUtility Restore feature https://support.apple.com/guide/disk-utility/restore-a-disk-dskutl14062/mac
note: >System Preferences>Security & Privacy >Privacy>Full Disk Access
unlock the padlock, press the + button and add Disk Utility