OK - here's a wierdie. Decided to look for outgoing server problems on the forum as I decided that was really the problem. Checked the forum and found convoluted solutions from 2008 that suggested backing up the entire mail file, deleting everything and starting over as well as a set of instructions from a phone chat with Apple (circa the sam date).
I decided to work that route and also plugged into Google's instructions on how to set up an IMAP account. Everyone said change the port setting. When I did that it just timed out on that port. So, I took my courage in both hands, wrote down all the information there was about the first of the two servers to stop workiing and deleted it.
Once I had re-created the same ??&^%$#!! email account with NO changes and saved it, BOTH servers were back on line.
Anyone who has an explanation for what has been going on that does not include the current snowstorm, visiting aliens or the cat walking on the keyboard will probably get a prize!
But seriously, does anyone have any idea why two accounts that have worked perfectly for over a year should suddenly cease to send? I would really not like to go through this again.
I was away for the weekend and left the computer turned off and unplugged, as I usually do when I'm away. Surge protector extensions do not really protect when there is an electricity junction box about a hundred yards away; a sitting target for a lightning strike. Better safe than sorry. And if that were the cause it should have happened five or six times already.
Well, thanks for any suggestions. And if this helps the next poor soul who has been visited by the same poltergeist then it will not have been in vain.