I am a recent college grad who lives in canton city, Ohio with my parents. I am also a full time employee of brecksville, Ohio. Both stark county and brecksville taxes come out of my paycheck. Do I st

[Hal_Al]

 You normally only have to file a return in the city you live in. It is not necessary to file one in the city you work in, if different. Your employer will remit withholding to the city you work in, but you do not file a return unless you're claiming a refund or your employer didn't withhold enough ( both highly unusual). The city you live in will allow a credit or partial credit for the withheld tax you paid to the work location city. 

There are no county income taxes, in Ohio.  But there is School District Income tax (SDIT). What you think is Stark county tax may be SDIT. Ask your employer. You only may SDIT to your residence SD. Not tax should be withheld for work location SD.

To verify or find out if you live in a school district or city with an income tax enter your address at:

http://www.tax.ohio.gov/Individual/LocalTaxInformation.aspx