Your wife has no job, that means you have one dependent

Your wife has no job, that means you have one dependent. In other words, you earn money to support two people's life, including yourself and your wife. No matter your wife has SSN or not, it does not matter. For sure, you can get back more refund from both federal and state tax. You will get several thousands of refund. Buy or borrow a Turbo Tax software, and go through once, and you can see how much you can get.