Hi Lisa,
That's Google trying to "help" by passing along unread mail alerts
from the gmail acct associated with the Google Talk acct you have
gateway'd.
You can stop it from notifying you of unread mail in your mailbox by
signing into that gmail acct directly and marking existing unread
gmail messages read (or deleting the messages).
You can stop it from passing along new mail as it comes in by setting
up various solutions with Gmail filters and/or forwarding. What you
do here will depend on how you use that gmail account. If it's
forwarding its mail somewhere else, go into the forwarding settings
and tell it to either archive or delete gmail's copy. If it's *not*
getting forwarded, maybe a filter for something like "to:me" and
archive or mark read will do the trick...
Good luck!
Best,
-Pam.