I would like the first form to NOT list the Group that the second form notifies. Is this possible...and if so how?
Manually re-write the HTML for the first form while leaving out that particular group from the selector list.
See the sticky thread for instructions. It's the one that explains how to hide an input item and replace it with a default. Only use it as a guide. You need to see the HTML as it appears in your browser and write your custom template similarly.