From your post, it sounds like you want to do a private adoption without the birthparents involvement. Unfortunately, it's not possible to go around the birthparents' rights. They have to be notified of your intention to adopt & you have to have their consent. And like I said, if you want to go the "I can't find them" route, it has to be an honest "I hired a private investigator and here is everything we've done" kind of situation. You have to convince a judge (who doesn't terminate parental rights on a whim) that you did everything humanly possible to contact that birthmom
2. PRIOR EXPERIENCE – Ask if they have done the type of adoption you are choosing (i.e.domestic interstate adoption, specific intercountry adoption, working with singles, etc.). How many have they done and how recently (i.e., intercountry adoption changes in 2014 may not be known by immigration attorneys without current adoption experience)? You want an attorney knowledgeable and up-to-date with the type of adoption process you are starting.
The process is detailed. If you don’t adhere to every particular in the process, you may get a rejected application, and you’ll incur added expenses. Most adoptive families do not have money to waste on unnecessary fees. Therefore, you need someone who will get it right the first time. Furthermore, adoption law differs from state-to-state. If you’re adopting in a state outside of your home, the laws could be different from what you expect. It’s better to hire an attorney.
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.