Windows 2000 Pro/IE 6 and FTP security question

I should also add that my computer is not configured for FTP nor do I
have IIS (Internet information services) installed.

------------------------------------------------------------------------

I've noticed that if I use FTP with IE 6 to connect to someone else's
computer which has a user name and password, after my download session is
over and I close IE6, using Windows Explorer, I see their computer IP
address in my network workgroup (in the area of computers near me). I
usually delete it, but this times I neglected to for a week.

I should also add that my computer is not configured for FTP nor do I
have IIS (Internet information services) installed.


Question:

Even if I'm not downloading from another ftp connection, will that person
see my IP address in his workgroup if I don't delete his IP address from
my "My Network Places"? Since my drive properties are defaulted to
"share", can that person see my entire
computer, or will my Zone Alarm block it. Which Zone Alarm log would
even
reflect if that computer was trying to connect to mine?