Accessing a network share when connected via https

I'm using network load balancing and IIS 6.0. The application is set up to
use anonymous authentication with the anonymous user being a domain account.
A couple of pages in the app allow files to be uploaded to the server. Right
now the files are copied to both machines so they can be accessed. I would
like to change this and write the files out to a share on another server on
our network. The problem is that when the site is accessed via https it
seems that they can't access the files on the remote server. Is this even
possible? If so, how could it be accomplished?

Thanks.