Well nothing seemed to work, until ...
I checked the Safari extensions again. I noticed a Vidx extension, thought it was a player of some type. So I googled it anyway and found several descriptions.
One description said it was from the FBI, something that monitors porn searches.
Another description said it was a codec player of some type.
Last one, said it was a Trojan, which although seemingly inoffensive, can actually carry out attacks and intrusions: screenlogging, stealing personal data, etc.
So, I deleted it and the saveshare is gone, at least I haven't seen it pop up any where.
Thank you to everyone, for your help and patience with me.