You should get family law counsel to draft and get completed an affidavit of relinquishment of parental rights by the mother. Your attorney then will file a petition for termination and adoption to get her rights terminated, file motions and orders for riminal background checks and home study Your attorney needs to schedule a trial date. Amended birth record paperwork is done. An attorney under the facts described should be able to do your case in range of $2,500 to $3,500. Court costs are filing fee, social study, criminal background check and Vital Statistics birth record amendment. A termination-adoption needs to be done correctly for the child's sake.
The adoptive parents can’t leave the state where the baby was born until they comply with ICPC and the ICPC offices in the sending and the receiving state has cleared the adoptive parents to come home. Clearing ICPC requires submitting several documents (in California this packet can be nearly 50 pages), including affidavits made by attorneys from each state that the state laws have been complied with. Submitting an incomplete packet will delay clearance, leaving the adoptive parents in limbo. Work with an experienced attorney to avoid the stress, delay, and cost of complying with ICPC.
Now if you wish to go it alone, there are ways to do so. One such way is to utilize the services of a Do-it-yourself adoption service such as RapidAdoption.com. For a reasonable fee, the fine folks at RapidAdoption.com will complete all of the necessary paperwork for the adoption in your state. They will even do it if the child is in a different state than you. They have been doing legal paperwork since 1998 and have prepared 1000’s of legal documents in all 50 states. But their service is only available in the United States and only with domestic adoptions. So if you reside outside of the United States or are adopting from another country, then this is not an option for you.