By separate log ins, I meant for the computer. As you say, very inconvenient and, as you are on different computers, not applicable.
But a "Live" Log in is totally different. You can create two different log ins here:
https://signup.live.com/signup.aspx?lic=1
My other point was that you must have the automatic feature turned off. This should be by default. In Live Mail:
Options - (Click the Blue "File" Top left and it is the last in options) - Mail - Connection tab.
This will mean you need to sign out and in again every time. Rather cumbersome, but I
think the only way.
By the way, better late than never, Welcome to the forum