The button TAGarrison talked about is only available for POP3 accounts, not for IMAP. It is needed for IMAP accounts as well, to prevent Thunderbird to ask for passwords, were the server access is no longer possible. In my case the mail server got mo...
Not every account shows the button to "Include this server when getting new mail" under server settings/advanced - only the default account lets me do this, but there it useless. I need it especially for the non-default ones.