I have recently been re reading the Two Towers and one thing confused me a lot. Faramir says to Frodo:
"There are no travellers in these lands, only servants of the eye and the white hand"
The white hand clearly means Saruman, but throughout the books Saruman never seems to be in conflict with Gondor or even have any influence in those parts.
Is it possible Saruman may have learnt about Frodo and was in fact hunting him in secret? Why else would his servants be lingering so close to the rival he means to betray?