You likely will need to do a lotuscript agent to create the documents in the admin db.   Another alternative is to bypass admin and write 2 scripts.   One that searches all dbs for acls and changes them accordingly and another script that  checks each group in the nab and changes the group name if needed and then checks each member name to see if the entry is another group and changes that if it needs to.    I would suggest leaving the original group name as a secondary name in the group name and you can clean that out at a latter time.

If you got with the admin process you need to remember that each db needs to have a administration server assigned to it

Thank you for your answer. I appreciate the suggestion of leaving in the old name of the group since that will cushion the effect of the mass changes.