You will need to promote the group member to administrator, then you can promote them to group owner.
Here's how to promote a member of your group to administrator:
Click the arrow beside the 'Groups' tab.
Select 'My Groups' from the drop-down menu.
Go to your group's homepage.
Click on 'Member List'.
Search for the member you want to promote.
Click the link beneath her screen name that says 'promote to group administrator'.
After you have made the member an administrator, follow the same steps except click on "transfer group ownership" instead of "promote to group administrator"
\The CafeMom Admin Team
at 6:27 AM on Mar. 16, 2009