It means B) Always with each other. They never left each other side. They were always there for each other. Always buying the same thing, doing the same thing. Everything.
~Deceptiøn
That is because of the connotation. The denotation for house and home is a place of residence, however, our minds perceive the word house as neutral and generic while home is something that is close to us and brings us safety and security. That is an advertising ploy.