Get your taxes done using TurboTax

Unfortunately without a birth certificate you can't get an ITIN or SSN.  You have to go through social services.   Maybe find a supervisor or hire a lawyer.  Sorry.  

You can either file now without the dependent go along with any tax benefit, or wait to file until this is straightened out.  If you file the automatic extension in April, then you can file as late as October 15 to claim the dependent on your tax return, if it takes that long.