Hey there,
First of all, thanks for taking the chance on us. You might not have known what you were getting yourself into. You stuck around though.
Dating the girl with divorced parents is an uphill battle. Its a constant fight to make her believe that true love exists and that someone will stay. You are fighting every preconceived idea she has about love.
You see, when she was young, she realized that her parents weren't soulmates. They weren't a couple that she looked up to and one day hoped to be just like. This made her dreams of finding a Prince Charming seem unattainable. When she entered the dating world, she saw no hope in every finding a "good guy." She became pessimistic towards love and relationships. Until you came along..
You fought, and will continue to fight, to give her hope. You intoxicate her world with "I love you" but she will always have a shred of doubt. There will be many long talks about faithfulness and how that one thing you said one time might possibly be because you don't love her. Even the smallest of things can cause an avalanche of fear. That's what she knows.
Dating this girl will never be easy, but teaching her to fully trust you will be a reward unlike any other. Don't take her love for granted. Realize that you are teaching this girl how to love the right way and make sure she knows how you feel. When she finally opens up, you will be her everything. Don't give up on her, because she's trying.
Sincerely, the girl who comes from divorced parents.