Your example helps a lot. You are talking about someone who is very conventional.
Conventional -- Conforming to established practice or accepted standards [American Heritage Dictionary, 5th Ed.]
The mother who scolds a child for not following traditional habits, when those habits are minor and have no bearing on modern life, is clinging to that tradition for dear life. She is stuck in the past, with undue reverence for convention.
Scolding a loved one 'for not crying properly' is also a controlling scold. Rather than trying to make sure that she fits in, she wants others to do so.