My wife went to the local Amphur and got a Thai birth certificate.  After having it translated, I saw that her name at birth--neither first name or last name--was not included, only her current married name (including my last name).  Moreover, the family name of her father and mother were missing; only their first names given.   I sent her back to the Amphur.  With reluctance, they are adding the father's family name (and some ID number that is important in Thailand), but not her family name at birth.  Anyone have any insight into this?  Normal for Thailand?  Acceptable in the US?  Thanks!  

There is only one birth certificate - issued when birth is registered - it (and copy) would not have your name on it (I hope).  

 

Does your wife have a Thai passport?  That should have required she present a birth certificate.

 

If a birth certificate is not available due being lost by family and officials there are alternatives available if that loss is explained.  But have no idea what you currently have. 

 

You should have clear information on what is acceptable from US Immigration (or whatever they call themselves these days - as I recall basically family members statements in a legal format).