The hearth and the Salamander can also mean happiness and if Montag chose to be happy or not. The two things in his life his home and his work. Did it really make him happy. He chose happiness over this home and his work by reading the books.
The key word is know her, because this is all she has ever wanted from the beginning of her life. Its the only way for true and real love to happen. The catch is for one to know another, they have to give up themselves or it is not reality.
I grew up feeling this way. Still feel this way many days, but my depression cannot keep me down. I fight every. I wish for things to be easy, to be strong, and sometimes it's impossible. Sometimes I just can't.