Hire an experienced reputable adoption attorney, one that belongs to the Americanm Academt of Adoption attorneys. Every atty I have encountered professionally , that is a memebr of this org, have been very open and follow the law.
The attorney will make the correct efforts to terminate the parenst rights ( which takes more that signing papers)
Since you are not a relative, you will have to have a background check, etc There is mch to be dealt with, and it doesn't sound like you have much time. If the parents rights have benn terminated and the guardian dies before your efforts are complete, the children will be made wards of the state and placed in foster care until you finalize your efforts. If thathappens it will complicate matters and anyone else that has claim, blood relative can challenge your adotption.
I hope I have kit a fire under you. And being "babies' , you would be surprised at the people suddenly interested.
http://www.adoptionattorneys.org/

