Amusingly that map places Weathertop fairly close to the Tap O'Noth which is ancient hilltop fortress where the stonework was vitrified (i.e. melted, apparently on purpose).

When I was a teenager reading LotR I always imagined that Weathertop was like the Tap O'Noth - it is quite a distinctly shaped hill (having a dirty great ancient fortress on top) and can be seen from a long way away.