What should I do if local taxes were withheld incorrectly?

[TomYoung · Accepted solution]

Tell your employer to stop doing that.
File a local income tax return and claim your refund.

Tom Young

[PrincessVern77]

What if they put the wrong address and started taking out taxes for the wrong county? 

[Critter-3]

Get the employer to fix the error now before the end of the year. 

[Hal_Al]

You, most likely, will have to file a county return for the wrong county, to get   a refund of withholding.  And file a county return to your home county to pay that one. 

For more specific advice, you need to identify the state and the counties.