If you are stationed in OH on PCS orders then both of you are, for Calif tax purposes, nonresidents of Calif. So, Calif can only tax Calif-source income such as from a rental property there. If you have no Calif-source income then you don't need to file a Calif return at all unless you have paid in some 2016 Calif taxes via withholding or whatever. In that case you would file nonresident Calif Form 540NR, declaring 0 Calif-source income (in Nonresident Adjustments) to get a full refund.
See California's publication 1032, Tax Information for Military Personnel, here
https://www.ftb.ca.gov/forms/2016/16_1032.pdf
You can find your scenario in Example 6 on page 8. Instruction D has good info as well.
