When River Song first appears in "Name of the Doctor" she appears to be alive and well, joining the "conference call" to talk about the threat to The Doctor's life. She mentions that The Doctor hasn't contacted her in a long time, and that she and The Doctor were close "a long time ago". I take this to mean that he has not contacted River in person since he lost Amy and Rory.
Later, she begins appearing to Clara, claiming that she has kept a mental link open from the "conference call". However, this version of River talks about the exact circumstances of her death in "Silence in the Library". (When asked how Clara could be seeing a River if she has already died, River's answer almost implies that we are seeing the saved version of River from the Library's database.)
Isn't the River that appears in the episode a living version of River from after "Angels Take Manhatten"? If so, how would that River know anything about her own death?