Guide to deleting a Time Machine backup

What Iv’e ended up doing is moving all my data onto another drive and re-setting the WD MBL back to factory condition. What I noticed when it restarted is the option to have a dedicated Time Machine share. The only drop down option before for mac backup was public and private. This new share even has it’s own trash can. Although I previously had the latest firmware I did not have this option, which I find strange. Perhaps this is why I had all the problems trying to delete the backup task. In any event I shan’t be using it again for Time Machine as it was just to much trouble.