I did remove the email account entries, and I confirm they are gone.
I just ticked the Scan SSL connections box and tired the Live Mail again.
This time all is well. It is working.
I may have been doing something wrong, but I doubt it. The only thing I was changing was checking the Scan SSL connections and not changing anything in the Live Mail program. Maybe it is because I'm running Windows 7 on a Mac. The Mac side was getting jealous that I'm spending too much time working in Windows 7. I will never know the source of my problem.
Thanks for your time. You get credit for the fix.