Hi KenB_42,
Thank you for posting your concern here in Microsoft Community. Based on your post, you're periodically receiving error messages regarding your uploaded Word documents in OneDrive. Allow us to thoroughly check on this and get this addressed.
Usually, you'll receive this kind of error if you're co-authoring on Word documents.

Your document cannot be saved to the server because your edits conflict with edits from others. Coauthoring with AutoSave turned on can help avoid running into this issue.
To know more about co-authoring, you may refer to this article: Collaborate on Word documents with real-time co-authoring
You mentioned that your files are not being shared to anyone else, however, just to be sure, you may check if the files are indeed being shared to others. You may follow the steps in this link on how to check: See who a file is shared with in OneDrive
To notify us and have us get back to you, simply reply to this post.