The laws of the state in which the child was adopted determine who has access to the original birth certificate or other adoption records, and whether those records are sealed (unavailable). For information about the law in each of the 50 states and the District of Columbia, see the: http://www.childwelfare.gov/adoption/. This links to the Child Welfare Information League’s numerous publications on the legal aspects of adoption.
While you may work with social workers, Internet consultants, and other professionals throughout your adoption, your attorney will by your legal guide throughout your adoption process. Because you will be placing a great amount of trust in their legal expertise and guidance, you need to make sure you choose the right attorney for your type of adoption. No one can tell you whom to choose. If you have done your research, understand what an attorney can and cannot do in your state, checked their licensing, experience and consumer rating with adoptive parents, and consulted with local adoption professionals (such as social workers, homestudy providers and counselors) you will just get the “feeling” this is the right person to help you build your family.
A judge's role in the adoption process is to make any needed changes in the child's legal status. While a waiting child is in foster care, the child's case is usually reviewed periodically in court, to determine whether the goal should be reunification with the birth family or adoption. If the goal is changed, it must be done by a judge. A family court judge will make the decision to terminate parental rights of the birthparents and will preside over the finalization hearing and issue the adoption decree.
One point that Matt mentioned that I found interesting, and certainly gives the service credibility, is that they have lawyers that use their service as well. The lawyer will sell the service to a client for thousands of dollars and then pay RapidAdoption.com to prepare the paperwork for them. There are some that they work with regularly and have an agreement with and some that just purchase the service from their website and give the paperwork to their clients as if they had done it.