[split] What does the name "Farseer" really mean? SPOILERS ALL BOOKS

[Nuytsia]

But what if the name refers not only to Fitz, but to Fitz's descendants as well? So far he only has one daughter, Nettle. But now that he's married to Molly he might have other heirs as well....
What if one of them is the next White Prophet? .....
Then the name 'Farseer' would apply literally to the child Prophet: he or she would see far, far into the future.

I just got to that bit referred in the OP in my re-read of Royal Assassin, and I can't find any particular clue in or around it as to what it could mean. I really do wonder if it does literally refer to a future prophet in the Farseer line, as NeverBeenWise suggested.

If that's so, I'm still wondering how the requisite genes get into the Farseers....... hmmmm !!!