Wow crazy - how about Citizen of the bloody world and the god given right to be a citizen. Man these bureaucratic BS ppl get on my tits especially where an innocent child is concerned.
If your daughter has a Thai birth certificate then she must also have a thai passport or can get one. She doesnt need a visa, and probably wouldnt be able to get one anyway given that she is Thai. You can then get a non o on her thai passport if she is a dependent as far as I know.