No----if you do not live in Ohio you do not need to file OH local tax returns. Your employer is (or should be) withholding any local taxes for the cities or localities in which you worked when you worked in OH. Those local taxes should be in boxes 18, 19 and 20 of your W-2.
But make certain about whether you need to file any sort of local or city tax for the place where you live in Indiana.
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
