Abundance of early 20th century amusement parks named "Luna Park"

Factual Questions
1

A simple question: why were so many turn-of-the-last-century era amusement parks named Luna Park?

Cites:
http://www.defunctparks.com/parks/parks.htm (click on a state that would have been well-populated for the era)
List of defunct amusement parks - Wikipedia

There’s a lot of parks named White City in the time, too, but that’s probably because of the Worlds Columbian Exposition from what would have been a few years earlier.

2

Here you are,

http://www.post-gazette.com/pg/08245/908516-42.stm

The surprising thing is that there are still some parks of that name open in Australia.

3
4

http://pdxhistory.com/html/luna_park.html

http://www.westland.net/coneyisland/articles/lunapark.htm

5

Dang, now the Pet Shop Boys song of the same name is running through my head. Oh well, it’s a good song.

6

A lot did have to to with the popularity of Luna Park on Coney Island. There were three major parks there – Steeplechase Park, Luna Park, and Dreamland – and the Coney Island Luna Park was the first.