Bob,
In this case, there is no interest in adding these emailers to the group membership.
The Groups.io group is for a small core group that are elected to take responsibility for the organization as a whole. However the small group wish to be able to receive emails in their groups.io account which have been forwarded from their email address.
The email integration seems to be working!
Frances
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Help available from Groups.io help and GMF wiki.
?