This function will give you a title command call, which you can then use to change the name of the screen window.
title() { printf $'\ek%s\e\\' "$1"; }
If you use a decent shell (e.g. zsh ), you have precmd and prexec hooks from which you can run any command before and after the prompt. I suggest you use them to update the window title.
Corrected above from the information found at: GNU Screen: Cover Examples
(Sorry, the short answer is, I'm in a hurry and can expand on later.)
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