No grounded outelsts

Do check to see if your wiring is in metal conduit. You can ground to the conduit. If not, do you have access to beneath your house? (Basement, crawl space..) If so, run grounding wire down and to a pipe.

Upstairs rooms that are not adjoining a bathroom wall with pipes in that wall are a big-time problem. Look to outside walls and see what piping, etc. is out there. Ground to that.

Yes, that is why you need to use a ground tester. Also, I doubt a reputable electrician would stand by the cheat that uses the skrew in the outlet.

Mine wouldn't.