I have to believe you're over-thinking it, but that's easy for me to say without consequence. As others stated, the purpose is just to verify parental consent, not to authenticate the child's name history. I have to believe that if you have the kid's birth certificate with the mother's first name and mother's date of birth matching the mother's ID, and that ID's last name matching the kid's (and father's), that it will be accepted for that purpose without issue.

The maiden name being a middle name helps too but shouldn't be necessary. From what I can tell, 70% of women in the USA change their names, and only 18% take their maiden name as middle, so more than half of the mothers' IDs presented are going to be like that; surely there'd be warnings about additional documentation needed if that was an issue.

That's different, of course, from women having trouble getting their own RealID and needing documents to trace name changes since their birth certificate. Of course, in that case having a passport (in current name) helps a lot, since that eliminates the need to show a birth certificate at all (at least in California).