What is the origin of the name Idlewild Golf Course?

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.