Adopting a friends baby

I have a question. My friend came over to the US from the Philippines with her newborn baby. She and the baby have been staying with me for a few weeks. Now she wants to leave the baby with me to adopt and her go back to the Philippines. I live in Illinois. She saids she can't finacially care for the child. I am already a foster parent with DCFS here. With hoping to adopt. But now she has thrown this wanting me to adopt her baby and she is wanting to leave asap, which means she won't be here when we would go to court. She has no physical address in the Philippines cause she lives here and there with different people. What should I do. I do want to adopt the child. But I don't want to have to deal with ICAB there in Philippines. Since the baby is already here in the US. She even has the babys birth certificate here with me. Can I just go through the courts here and do it without her. She saids she will sign what ever forms she needs to sign before she leaves.