If you reside in the Sidney Consolidated School District, you will have to file and pay any school district tax. The tax code for the Sidney CSD is 7508.
Here is the link to the Sidney OH Tax department's website. They can tell you if your address is in the Sidney CSD and if there is a school district tax (I did not see a school district tax mentioned on the website).
http://www.sidneyoh.com/tax-department/index.asp
