Problem Solved.
I do NOT have Steam installed and had no idea what it was until I looked it up. I do have GOG's Galaxy which is a rival product and the latest version has cloud backup and synchronizing. It got automatically installed when I installed White March from GOG. That was what caused my deleted files to come back. My solution was to uninstall Galaxy and the problem went away.
Cloud backup and synchronizing looks to be one of those "useful" features that is really not very useful. For that matter, Galaxy is a "helper" that I have never found to be very helpful and normally never use but GOG always make it hard to not install it. It appears Steam is also one of those not very useful "helpers".
Personally I do not use the cloud unless I must use it to share info with someone else. With 4TB drives selling for $150, all my backup can be done locally where I own and control the drives. With the cloud, the physical drives your files reside in, belong to the cloud company. When some of the early cloud companies went bankrupt, those drives went to their creditors who wiped them out and sold them. The people who had files on the drives lost everything and the courts ruled they had no legal right to retrieve the files they had stored on them. Another case where the law has not caught up with new technology.
Sloane