It is not possible to respond to this question on the level stated: "Can a mother . . . .?" The law and procedure surrounding termination of parental rights is well-developed in every state. The procedures which must be followed by the state agency are rigorous. The overriding purpose is to bring stability and permanency to the life a child. Courts require a showing of knowledge, understanding and voluntariness in the agreement by the parent. Where a parent is "unable to complete her case plan" the agency's petition to terminate rights is almost always successful. Setting aside the termination, or even appealing it in a timely manner, is extremely difficult. Whether it can be done in a particular case is something that requires careful review by a local experienced family law practitioner.
Best wishes for an outcome you can accept, and please remember to designate a best answer.
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It is theoretically possible but the situation you describe doesn't really meet the criteria for coercion. The mother was not threatened with bodily injury or death or anything of the like in order to agree to what DCF was asking. It sounds like DCF simply told her that because of the mother's drug abuse and the health of the children what a judge was likely to do. Also, it isn't clear from your post that the children were actually adopted. Who adopted the children? Just because DCF has taken custody of the children and she lost rights to them doesn't mean they were adopted.
This is not to be considered legal advice nor does an attorney-client relationship exist.
I agree with my colleagues. In the situation that you describe, it is highly unlikely that the mother would prevail in the return of the children. The laws are designed to protect the permanency of the adoption. Further, you do not state when this occurred. You would need to consult with an attorney in order to discuss the specifics of your case as well as the timeline for all of the events. Best of luck to you and great job on going through treatment successfully.
This answer is for general informational purposes only and should not be relied upon for your particular case nor is it intended as legal advice. I have not reviewed your case nor have I met with you and the answer to this question does not in any manner whatsoever establish an attorney/client relationship.
I have to agree with the attorneys that have posted that I think that it would be highly unlikely that this would be "reversed." These procedures are very deliberate to promote stability and certainty in people's lives. Good luck and congrats on the new beginnings!
Please be advised that any answers or information disseminated above do not constitute legal advice and that the attorney responsible for this posting is merely attempting to participate in a Q & A session intended to be helpful but certainly not intended to be legal advice. It is important that you understand that no attorney-client relationship has been formed and that the attorney has no obligation to follow up with you with your legal issue unless you separately contact said attorney and arrange for him to legally represent you.