Here's the background story: She entered the country in 2007 on a F1 Student Visa, which is now expired. Here I-94 has an expiration date of D/S=Dependent on Status. She quit going to school in 2012 which would make her I-94 void and would have to leave the country. However we already had plans on getting married and did so in May, 2013. We are planning on filing her paperwork for a green card and ssn this year.
My question is will we be able to fill out a W7, go to the local IRS office, and successfully apply for an ITIN number even though she has overstayed her I-94 and is considered an illegal alien. I would like to be able to claim her on my taxes considering she does not work. Any help would be greatly appreciated.

