I did mention in my original post that I have ESET and we do have the NOD32 version. We did more looking around yesterday and discovered that this account is the phantom account created by ESET as part of the anti-theft feature. All is well.
Yes, I have malware software. My practice is that I never click on links sent to me in e-mails, never click on links even sent by friends who are in the habit of just sending anything they want to share. I've got a whole lot of extensions in my Firefox that really annoy websites who want to track me, fill my screen with ads, etc. and my new favorite Facebook Container.
My husband is in the aerospace industry as a program manager and software developer and I'm what I call a Geek-Nerd from way back...