Nancy,
Her activity isn't showing up as bouncing, nor are her emails
being returned to her either by her server or by groups.io.
If her attempts aren't showing up in the group's Activity log as (failed) attempts then the most likely cause is using the wrong posting address.
But in that case she should be getting a failure return (unless she happened to use the address of another group, and is allowed to post in that group).
I can see the header of a message she sent on 6/30, and the email
address of the group is correct.
I have the same curiosity as Bruce about the message you examined. It would only be meaningful if she sent it as a CC to you (at a personal address) when posting to the group; and of course only if it was one of the failed instances.
Shal
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