First off why are you waiting for verizon to refund you? Call your bank and credit card company and they will charge it back if you tell them the issue.

Verizon is notorious for not giving money back. Call your bank, do it now. Let verizon fight with them.

And that tale of having the same name and address is very questionable.  And why would verizon give you access to another's account history or payment information?

Good Luck