Do official coordinates of a city ever change? (city hall, parks)

[cebuan]

Here's an odd one. A city's official coordinates are usually those of some permanent landmark, such as city hall. Has any city ever grown so lopsidedly that the original coordinates no longer realistically reflect the city's location? What happens if they build a new city hall and raze the old one?

[manitopiaaa]

Tulsa, Oklahoma is that way.

The city grew almost completely to the Southeast of Downtown, since NW of downtown was Osage Nation, and the North and West were dirty industrial parks.

Downtown should be called Northwest town.

And the city built a new city hall in the past decade too, so that also shifted.