Oh my mother definitely did/does, she and I are nc now.
Growing up it would be if I did something stupid it was my fault entirely, if my brother (golden balls) did something stupid it was my fault too.
I smoked weed when I was 13, so when golden balls became addicted to heroin it was, naturally, my fault. I got caught shoplifting chocolate when I was 12 (and starving because my mother didn't feed me) and I was the most stupid idiot going, golden balls literally robbed a shop as an adult, obviously my fault. Even after my son died everything that golden balls did (going to jail, assaulting his girlfriend, robbing my mother) all my fault because I "couldn't keep my son alive".
Even now we have been nc for over 20 years I still get blamed for things, one if his girlfriends reported him for DV, clearly my fault for getting in her ear (never met her, don't know who she is), SS became involved with his dc, must have been me anonymously reporting it to be evil.
My mother definitely has a favourite, and it isn't me.