How horrible parents can be!
My mom has said and done many similar things as reported. One sticks out-she repeatedly told my sister and I that our father never loved us and that "we were millstones around her neck" that was one of her favorite phrases to let us know how lucky we were to have her as our mother. She would then threaten to drop us at the local orphanage if we acted up in any way at all. She did drive us there once and demanded that we get out and announce ourselves. We had to beg for mercy, say we were sorry and plead with her to take us home. (there was an old fashioned orphanage about 4 blocks from where we lived-it was scary looking!)
She did but I'll always remember how she used our fear of being abandoned as a way to control us.
Some people, obviously, should never procreate.