Sorry for lack of clarity Jeff. I was using the free Evernote for Desktop v.6.22 at present but I have experienced it with all previous. I am referring to encrypted notes. Both my questions applied to those. The entire note is encrypted, not just a section.
When I say "on my other screen" I mean on my other monitor screen (I have two, side by side). My second question refers to the situation where I have a completely encrypted note open on my lefthand monitor and a website page on the other. When the encrypted note disappears it is only the encrypted text that vanishes, leaving the "thing" one clicks to bring up the password but the encrypted text is gone. Then clicking the thing brings it all back (without needing the password), but by then I have often lost focus on where I wanted to paste the text I copied from the webpage. The Evernote text does not always vanish when clicking on the webpage. It is not a major problem but rather a minor intermittent annoyance bug.