I would not attempt this without an Attorney - there is a very good possibility that the Court will feel that a woman who has/is losing custody might not make the best decision regarding guardianship. I assume you are not talking about adoption.
Where is the father? At any time he can reappear and claim the children.
I don't know what you mean by "astute of time."
Ask the person who told you all you need is to get "it" notarized and find out what "it" is. A guardianship agreement? Something else?
Again - you need an Attorney, particularly if the State is already protecting the rights of these or other children.