Hopefully sometime soon you will be able to find all information pertaining to the 2011 NASA Sponshorship at
http://robotics.nasa.gov/events/first.php by clicking the link that is currently broken. I've heard from a few people that it would be up soon after registration opens on 9/30.
In the past, NASA has offered sponsorships to rookie teams, second-year teams who received a rookie grant, veteran teams attending first year regionals, and some few veteran teams who were in need of sustenance and not eligible for anything else (these are actually called Sustenance Grants I believe).
If nothing changes, our team is also looking at applying for a sponsorship for the new Duluth regional, so we're waiting for the site to get updated too.