It is apparent that Sawyer has some kind of issue with her father - when her mother mentions him she shuts the conversation down. Later, when speaking to Nate I think she says her father died when she was 15 - cut to her reading to an elderly man in the hospice and then a funeral scene. These scenes are a bit confusing - she certainly doesn't look 15 in them.
Later we find out that the man in the hospice and in the coffin was David's father - this is very confusing, are David and Sawyer siblings or half-siblings? No, we soon find out that Sawyer worked at the hospice and this is where she first met David.
What is the point of these of these mis-directions? - to me they are just confusing and don't serve the plot in any way. However, I'm sure that with a director of the calibre of Soderbergh they must be deliberate.