I have received approval of my I140 from my employment based application on Nov 2006. I have not received an I485 yet. I was married to a US citizen in Dec 2009. In addition, I plan to apply for a marriage based green card under my new surname. Two questions: 1) Should I pursue whichever approval comes in first (from either application source)? 2) Do I need to update my current employment-based application to reflect my new surname?