Re: "Whenever I try and update one of my apps it asks me to enter the password for a family members apple account that I do not know. I don’t remember ever linking my phone to theirs and this is the only
spot in my phone where their account comes up, everything else is mine"
Seems the app was downloaded from a different account ... perhaps it came to you via Famiiy Sharing.?
or
If there are restrictions you can change, see if Apple Support's online article (link below) can help:
(There are also family sharing tips that may help)
How to: Manage App Store purchases, settings, and restrictions on iPhone - Apple Support
Else: If parental controls are in place for your safety ... you might want to talk with a parent or guardian
or ... If you do use Family Sharing talk with the family organizer, who may be able to help.
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Re: Does anyone know if it’s possible to remove any link to their account entirely without having access to the password?
Sorry I don't know. We likely don't know enough about the situation in order to make a reliable suggestion.