From the obvious in the title, I would also like to see the ability to allow only MEMBERS of the site to update via a PAGE that is ONLY reachable if the client is logged in via a Members Only page that might be controlled by S2member or some other WordPress Members site plugin.
Also if the they are a Member there would be no need for Admin notification, just maybe an email sent to the admin for notification.

I would like to second this request, Thanks!
This would be a huge asset!
Yes, this would be awesome!! Any plans for it?
@Peggy
Yes, after the front end submission form is completed which is currently being worked on.