Dear bro,
First of all we need to know the age of this member in order to know how to deal with her accordingly. Meaning if she is a child under age of takleef we deal with it in a way and if she fully understands what she is doing and is responsible of her act is another way of dealing.
I assume that the one we are talking about is a grown up person, and I will base my study on this base.
First of all, we need to begin with her from zero, meaning that we shall teach her the three kinds of blasphemy and that the act of throwing papers with God's name on it is an act blasphemy.
I mean you need to teach her the basic creed, which is the essential knowledge any muslim should have.
I don't know whether she did the second and third mistakes on purpose or not, because I cannot understand that one can forgot three times after 2 previous advice and teaching her why we shouldn't do that. Now if this is done on purpose and she said that this was by mistake to escape to be scolded at, this would be very dangerous because this is a clear blasphemy.
If this happened with one of my family members I would have gone crazy on him and would start yelling at him because if after 3 advices he would not understand, may be if you yell at him and when he sees that you are extremly nervous and serious may be he starts realizing the danger of the act that he did..
May be if the severe advice comes from a person that is not relative to her, it would make a wake up of her brain because some persons accept the advice from a non relative person more than a relative ones.
So the basic issue is to let her know very well what happened when she does something like that and to fully explain to her what is the status of blasphemers in the judgement day.
Some people think that to be tortured in hell is not that tough because they are ignorant, but when you teach them and try to bring all the details about what our prophet told us about hell you make her live the situation, she may feel guilty of what she did.
I don't know if I have enlighten you enough bro, if not, please give us more details about her and her environment, because sometimes, living in a non islamic countries and meeting non muslims friends have a very big impact on the person so that he would listen to them more than he listens to his relatives..
I hope that I have helped you with this.. If you need anything else, please let me know..
May GOD lead her to the right path and bless you my dear bro.