Anyone know what RandomCityNameDepth does?

It specifies the range in the list where the randomizer will pick city names once you found them.
For example, you have at least 30 city names. If in your code RandomCityNameDepth is 10, then the game will be looking for names within the first 10 in your list. Once that range is near exhausted, it will look for names in the next 10 in your list.

That's how I understand how it works, at least.

EDIT: Forgot to mention that if this line is not present, then the naming will be IN ORDER, just like Civ 5.
 
Yes. This is what it does, as far as I understand:
You have 30 cities. The game will build the city mentioned as capital first, let's say it is city number 1 on the list. Next, when, you found another city, the game will build one city from 2 to 11. If it builds city number 2, then your next city will be from 3 to 12. If not, it will keep building cities up to number 11 until city number two is built.
In other words: city number 1 unlocks city number 11, cities 1 and 2 unlock city number 12, cities 1, 2, 3, 4 and 5 unlock city number 15 as an option. So in order to get to city number 30 as an option, you need to have built all cities from 1 to 19 on the city list.
 
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