The following are the directions Bob provided that appears to have solved my problem:
Make sure the files you want to trash are on your Desktop.
Then use the Terminal command, type;
cd ~/.Trash
hit return
Then type;
sudo rm -rf
put a space after the f and drag the item you want deleted to the terminal so that its path is automatically entered, then press return
give it your admin password and hit return
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Bobw - Macosx.com Tech Support
Perhaps, by posting this here, Bob at Tech Support can move onto the next issue.
Thanks again Bob.
Peter