Very interesting photo and park house/shelter, never seen it before. The initial photo shows what appears to be Tibbett’s brook flowing East of the house. The photo showing the rear of the house looks to be taken from a hill south of the house. So my guess is that when they dug the storm /sewer drain to drain and hide Tibbetts Brook this house was likely in the way and removed. What appears to be a hill south of the house where photo was taken was also likely removed or leveled to grade was we know today. Later in the mid-1930’s Robert Moses built the stadium and 36 tennis courts on West side of the new stadium in about the location of the park house (shelter) in question. Again just a possible scenario of events and very interesting photos.