With Hotmail the addresses do not reside on my computer, so wouldn’t that rule out my computer as the source.
Yes, most likely.
I know that some people here are adamant about not using the left-leaning Google for anything, but I use Gmail for my web mail. I find the spam filter to be extremely effective. Besides, I’m not making Google any money by using their mail and search server resources. I’m costing them money by doing that. Now if clicked on any of the Adsense ads, that would be a different story...