Here at the University of Scranton we have a monthly meeting similar to
yours.  The group consists of the Dean of the Graduate School/Director
of Research, myself (Director of Researach Services), the Grants
Information Specialist in my department, our secretary, the Director of
Foundation and Corporate Relations from the Institutional Advancement
Office, the Grants Accountant from the Treasurer's Office, and the
Executive Director of our Center for Public Initiatives.  We meet for
about an hour - provide updates, iron out problems, and find it
invaluable in fostering communication and collaborative effort. The
group has no official title, but I think of it as the Grants Team.