I am a bit confused ---
Are you getting incoming phone calls, both on YOUR phone number, and also on your Mom's phone number, despite the fact that you have a different sim card?
And, your mom's new phone has her same phone number (or is her new phone on a different phone number)
Did you restore your "new" iPhone to factory, either using your backup to restore, or setting up as new?
Last question - do both you and your Mom use the same device name (Settings/General/About ... )