BLR

Hey, I believe the marriage certificate would be enough. That's the document I've been using as proof of name changed. DMV, Filling status, and adjustment.  I did the same for citizenship. 
Verify your state, but I believe the marriage certificate should be enough. 

What Pilsen said, your marriage certificate is proof of name change, that's what USCIS wants to see in your case. Some states show the married and the maiden name on the certificate, some only show the maiden name. It doesn't matter, the certificate is still proof of your name change if you decided to take your husband's surname. 

Hi Coco8,
i got the favorable recommendation on 29th march. I don't know what is in the sponsor views, but its response took a month and received on 6th of march. The recommendation decision took 23 days, that is longer than i expected. Finally i got decision and hard copy arrived on 4th of April. I still have no response or anything from uscis. Regardless of that, my route is no objection, so i proceeded with my aos.

But for Fulbrighters, it is hard to get the no objection waiver. For my case, I have completed 21 months and several days physically spent in my country. Technically, 2 years was done already. Only my tourist visa days in USA, probably aren't count towards my requirement. I have visited to USCIS, infopass officer told me that I have completed my requirement. Just in case, I am making sure for everything. After my sponsor views are received, DOS sent me several additional documents to submit ( not recorded in the status check). I have submitted my each exit/entry stamps, issued visas, highlighting the issued place, paystubs, electric and water bills, my tax records etc.  

Hi Coco8,
i got the favorable recommendation on 29th march. I don't know what is in the sponsor views, but its response took a month and received on 6th of march. The recommendation decision took 23 days, that is longer than i expected. Finally i got decision and hard copy arrived on 4th of April. I still have no response or anything from uscis. Regardless of that, my route is no objection, so i proceeded with my aos.