Many a mourner has been put off by well-meaning people who make remarks that disturb the mourner. It's good, she didn't suffer. And even I'm sorry, really don't do it for the mourner. It becomes a burden and drudgery for the mourner. Fewer words are always best and conversations that deflect attention from the deceased or mourning really do not help.
Mourners ought to speak and be encouraged to talk about the deceased and their feelings.
Stay away from the circumstances of death and focus on the life of the deceased. Don't neglect to mention the deceased by name. Our minds are delicate computers. Stored in them are memories of pleasing and embarrassing interactions with the deceased. Our memory banks want us to release the tapes on which are reminiscences of good and bad days with the deceased.