As indicated by the caption, this undated image shows the indoor tennis court at Harbor Hill.
The caption accompanying this photograph reads as follows:
Embraced still by America’s super rich, “the sport of kings” was indeed favored by Henry VIII in England and Francis I in France. This forerunner of lawn tennis, in the United States is known as 'Court tennis'. Formerly, in England, it was 'royal tennis.' There now, and in other commonwealth nations, the game is known as, 'real tennis.' In France, it is 'courte-paume,' immortalized by Jacques Louis David, in his painting, the "Tennis Court Oath," celebrating the establishments of the rights of man..
According to Wikipedia: "the rules and scoring are similar to those of lawn tennis, which derives from real tennis. Although in both sports game scoring is by fifteens (with the exception of 40, which was shortened from forty-five), in real tennis, six games wins a set, without the need for a 2 game buffer as in lawn tennis although some tournaments play to 9 games per set. A match is typically best of three sets, except for the major open tournaments, in which matches are best of five sets for men, and remain best of three sets for women."
See Harbor Hill, Clarence Hungerford Mackay's Mansion.