As a military spouse I can tell you that I have gotten unemployment when I had to leave my job in several states. I believe that each state is different though. I got it in PA, Maine and I think Florida.
I pulled this from a website. I would do a search for your state and military spouse unemployment.
"Military families often face frequent moves and these moves can add unique financial pressures, as spouses may have to leave their employment due to a military transfer and the families may face a reduction in income. Generally speaking, when an individual leaves a job voluntarily, then the person is ineligible for unemployment benefits. Recognizing that spouses of military service personnel who quit their jobs due to a military transfer may not be quitting so voluntarily, state legislators have amended unemployment compensation laws to help military families who are relocating between states. In several states, state legislators deem it good cause if military spouses leave their employment to follow their spouses in a military relocation, and thus eligible for unemployment benefits"
I hope that it helps you!!