As I recall, in the book, the beacons were being lit as Gandalf and Pippin and Shadowfax were tearing overland toward Minas Tirith. And yes, they were on the mountaintops. "...Amon Din, and flame on Eilenach; and there they go speeding west: Nardol, Erelas, Min-Rimmon, Calenhad, and the Halfirien on the borders of Rohan."
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...down to the water to see the elves dance and sing upon the midsummer's eve.
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