Without specifying the native American tribe, Southeast Queens Press (website) explains that "the Golf course acquired its name from an old Indian name for the area - "Idalwilde" - or peaceful and savage."
http://www.queenspress.com/anniversary2001-jfkairport.htm
It's unclear whether similar names, like Idylwilde, CO or Idyllwilde, CA have a common etiology from a Native American language.
The Idlewild Golf Course was named after the local Indian name for the area, Idalwild, or peacefull and savage.
Idlewild Airport, now John F. Kennedy International Airport, got its name as construction began in the early 1940s around a sporting complex called the Idlewild Golf Course. When Idlewild Airport opened for operations in 1942, Floyd Bennett Field was deed to the U.S. Navy. Idlewild Field was dedicated as New York International Airport in 1948. Idlewild airport was originally going to be called Alexander A Anderson Airport. However, Fiorella Laguardia wanted it named Idlewild. It is named for the area where the Idlewild golf course was.
The writer L.M. Montgomery in her book Anne of Green Gables (1908) uses the name for a place in a forest in a ring of birch trees in which Anne and her friend, Diana, play together. Anne names the place Idlewild after thinking on it for a whole night, having wanted to come up with a “poetical name” for her little glade. I can’t seem to find any earlier instances of the name being used, but since your grandmother used it in the late 19th century, it’s likely L.M. Montgomery did not invent it.
Construction on Idlewild International Airport (presently John F. Kennedy International Airport) began in 1942. The airport took its name from the Idlewild Golf Course that it replaced. Planning began during the administration of Mayor Fiorello H. LaGuardia (1882-1947, mayor 1934-45) and called for 1,000 acres of development. After six years of construction, the airport opened on July 1, 1948.
the memorial golf course
A golf course owner or a caddy
Idlewild is derived from the American Indian name for the area around the JFK airport in New York. Originally named Idlewild, the airport's official name was changed to New York International in 1948, but was routinely referred to as Idlewild until 1963.
Fox Hollow Golf Course, AKA Tri-City is the name of the Golf Course in American Fork. It is near the High School, Junior High School, and Recreation Center
The Blue Monster is a course at The Doral Golf Resort and Spa in Miami.
Augusta National.
Your Backyard.
Royal Troon, it is a golf course in Scotland. It is also the name of a golf course management company HQ'd in Scottsdale, Arizona. The courses are premiere, high end golf courses.