We have author George R.R. Martin and his Game of Thrones series (and subsequent HBO show) for this fictionally-regal name. In his made-up language, Dothraki, Khaleesi is a title meaning “queen.” And it’s true: Whether you name her Khaleesi or not, your tiny daughter will be the queen of the household.
Lee, Leelee, Leesi, Khali.
Famous people named Khaleesi:
While there are no real live famous Khaleesis, one can't help but think of Game of Thrones' Daenerys Targaryen, who bore the Khaleesi title among the Dothraki people.
Khaleesi comes from the Dothraki language, which is an actual language invented for the show by linguist David J. Peterson.