I have child restrictions on my daughters phone through and cannot remove it due to an old apple ID. I need to fix this.

Do you know the Screen Time passcode that set it up? Can you enter that directly on the iPhone?

If not then I suspect you will have to erase the phone and restore it from a backup that pre-dates when you set up Screen Time.

If you wish to confirm this, refer to this page for Apple Support features ➔ Contact - Official Apple Support

Select from the presented options until you find a solution for your issue, or see if there is a chat or phone call contact method offered lower on the page (you sometimes have to narrow down the options multiple times before this is shown). If you do not see your issue, keep experimenting with any series of selections until you reach one that offers a chat session or a telephone call and get the representative to redirect you.

This support article has various country telephone numbers for contacting Apple for support and service ➔ Contact Apple for support and service - Apple Support

I have a family member sharing my account and I didn’t let them