I'm guessing that you have your website and email hosted with a provider, and
you have your Outlook setup to access that email (as opposed to owning your
own webserver and email server).
If this is true, it's propably more likely you are not using Exchange.
There are basically two kinds of connections from Outlook to a non-Exchange
email server: POP3 and IMAP. Your email provider may provide either or both
of these.
With POP3, your email will be MOVED from the email server to whichever
computer you connect to at the moment with Outlook. A copy of the email will
not still be on the email server.
Let's say you're in your office on your desktop on Monday, and view your
email with Outlook. All outstanding email will be copied to your desktop,
and deleted from the email server automatically.
Then on Tuesday, while traveling with your laptop, you view your email with
Outlook. Any new email from lastnight and today will get copied to your
laptop. But you will not see any of the email that got copied to your
desktop on Monday.
When you return to your desktop on Wednesday, you won't see any of the email
from your laptop..... so the email will be all over the place.
Now, for IMAP.... IMAP, which your provider may or may not provide, works
similar to POP3, but it doesn't delete the emails from the server. You can
see all emails on all computers, because the server is the master, not the
desktop or laptop. The exception to this, is any copies of SENT email. That
would be only on the computer you sent it from.... but you might be able to
do something there maybe.
The last option is to not use Outlook at all from any computer, and to
always use the web-based interface that most email providers will provide.
This way, all incoming email and copies of sent email always stay on the
server, never on your desktop or laptop.
I prefer the IMAP option myself, because of course, the Outlook interface is
much faster and friendly, etc. ad. infinitum.