don't most POP3 clients give you the option for "leave mail on server"?

You're right! I hadn't seen that option before. OE6 has a few options for that. Thanks!

My mom doesn't want a second account because she never likes changing addresses. Because of some complications with Cox's service, they had to change their address a few times, and she wants to avoid that. It'll be easier to do the "leave mail on the server" thing. Thanks again.