QUOTE(Haole @ Jun 10 2008, 02:21 AM)

If passport is in her maiden name she needs to take the marriage certificate also.
Haole is correct. She can travel, but if the name on the Green Card and on her passport do not match, she could have problems not only re-entering the country, but getting on the plane to leave the country.
If she did change her name in the marriage process, I would suggest going to the Thai Consulate closest to where you live. In most consulates, she can get a new passport in her married name so that all of her documentation matches.
Good luck and safe trip!!