As someone who had an emotionally absent mother (that’s the charitable diagnosis, covert narcissism is another) who would throw me under the bus to friends and relatives on a regular basis and was not interested in me unless I made her look good, but would have sworn black and blue that there was no problem that she could see, I understand that you may not be able to see your child’s POV but that does not have valid reasons for what would be a last resort action for a child. Particularly in a family where every child has estranged themselves, there is I am sure on closer inspection very clear dysfunctional dynamics that have lead to the current circumstances. I have found Will I ever be good enough? healing the daughters of narcissistic mothers by Karyl McBride and The Emotionally Absent Mother by Jasmin Lee Cori to be most enlightening and helpful.