Hello! I am experiencing this same problem with my childs account. It shows on the childs Ipad under my wifes name. I am not even able to add a contact detail shortcut for my wifes apple id account on the childs ipad.
on any other device the profiles are correct.
we are using family share for apple one family plan.
devices have been resetted.
i am able to sign in into wifes and childs account separately. No problem.
The childs account is for a three year old.
Also, I am not able to share the apple one plan to childs account. More speaifivally the apple+ capabilities and 200gt storage. Arcade, tv and music are shared.