Just by the little bit you posted, there is a spirit of rebellion in this woman and that spirit has its roots in witchcraft....She may have dabbled in witchcraft or her ancestors....The strongman must be bond first....I would also say that along with rebellion she has a spirit of haughtiness...They go hand in hand.....This woman must want to be totally delivered....It must be on her part and not those around her....Sometimes people get so use to being demonized, they do not realize what the problem is....If she has been under an ancestoral curse, then she would not realize it since it has been there since before birth..... The demon (demons) likes to lie and he was trying to convince you that Jesus can't drive him out....He knows that when the woman desires deliverance, he must go and until that time he will be bringing more of his buddies in to wreck havoc in her life...

You have not stated if you are a man but I would advise you to not do this on your own...You need to have several other Spirit filled Christians with you when you are in the presence of this woman....Several reasons for this is to keep people from gossiping that you are alone with her, to keep your witness without blemish, ect....Also when doing deliverance it is always best to have a team of Spirit filled Christians to pray and to discern things and just to help....These others need to be trust-worthy, without fear, no unrepented sin in their life and not gossip about the deliverance....

Blessings...............