'Night, Mother

Yes, "Will Jesse kill herself?" is definitely a major dramatic question that would work for 'Night, Mother.  However, I believe that there are stronger options.  I would suggest that a better alternative major dramatic question would be, "Will Jesse find reason to live?"  If Jesse's only goal in this play were to kill herself, none of the action that occurs throughout the play would be necessary.  However, the argument could be made that Jesse doesn't just simply kill herself right away because there is something that just needs from Mama. This is what drives the central action of the play. In this way, this story becomes more about the struggle to survive than about giving up on life.

There's a reason that Norman chose to have Jesse spending the night with Mama before killing herself. This is not to say that I believe that Jesse is desperately fighting for her life, because I don't think that.  However, Mama is trying desperately throughout the entire play to stop Jesse from committing suicide. She is relentless, and employs many different tactics in an attempt to take control of the situation. To me, this leaves the audience questioning whether or not she will be able to save Jesse's life. Will Mama be able to "take control?" Will Jesse realize that suicide is not best alternative? These are the questions that drive the action of this play, and I believe that "Will Jesse find reason to live?" is a strong MDQ for it.