You would not be going along with it if you use active listening. You are not agreeing with her. For example, if she says to throw her out of the house, active listening responses might be You really want her to leave, don't you?, or You're furious with her. If she claims that the daughter is poisoning her, you could for example say You're certain that she wants to hurt you.

If it were me, I would explain privately to the daughter what active listening is and why it is a useful technique. I also would explain privately to her that I fully realize that she is not poisoning her mother and that I do not want her to be thrown out and that her mother is wrong to be upset with her but, as she well knows, her mother is not well at the moment.