Is my boyfriend right?

[hollowLeader783]

I'm 40 years old my boyfriend is 30 years old he was raised Christian we been together for 2 years,and he says he supposed to obey his parents, I have no problem with that, but one time we were having a very prersonal conveïrsation on Facebook, he left his facebook on and his mom reading our messages. And when I told him, his mom had approached me and asked me if everything was ok between him and I, because he had left his facebook on and she read the messages. when I told him I feel like she violated my privacy. He said she had every right to do so, because he lives under her roof and he supposed to listen to everything she says.