The victory point markers? If she runs out, she wins... doesn't she? That's one of the two ways for the game to end.
Ah ha! We had totally missed that Doug. The game does indeed end if a player places all their victory markers.
However, the rules don't indicate that the player wins automatically - just that the game ends. I would assume you then count score normally. Though it seems highly likely that the player who has used all her markers will win at that point!