Most states are fairly specific in their instructions, and want locality and school district information as of a particular date, usually either January 1 or December 31. I cannot guess as to which state you live in and their policy on these questions.

I am providing a link to a list of state tax agencies. Please click through to the agency for your state to find the line-by-line instructions, which should answer your question. 

https://www.taxadmin.org/state-tax-agencies