State tax filing

Payroll's amazing response on this issue, in summary:

 

"Yes you do work in NY, we don't care where you say you are, and we'll fill out box 16 for 100% and any consequences of us doing that are your problem."  Of course, I've never stepped foot in NY.

 

Do I need a lawyer?  Is there some firm that would take this case from a middle class worker?