There is imformation on the State department website.
http://travel.state.gov/family/adopt...untry_443.html
It looks like you might be able to adopt a child there, if you are planning to stay for five years. However, you still need to use an agency. There may be other countries that do allow, private adoptions, but because of the Haugue thing, most are not. China for sure does not. There are some places where you can do independant adoptions where you only need to hire a facilitator. Russia may or may not allow it, I think they are doing away with it, Ukraine is just now starting back up and I don't know thier new rules. Poland you can, but it helps if you speak Polish. There are probably others. If you go to the website I gave you, you can read about different countries requirements.