Thanks Rich. I'm looking specifically for "Old Brooklyn Italian". From Jon's Variety Database:
[A] mature, very strong and incredibly fruitful fig tree which was transplanted in Brooklyn NY from Italy approximately thirty years ago. Every season this tree easily yields 1500 figs and that number continues to increase every year as the tree continues to mature and rapidly grow in height. Approximately six years ago the tree trunks were cut down to approx 12" and since that time the tree has grown so rapidly that it is now almost 20 feet tall and yielding approx 1500 sweet figs every season beginning in June. The fig bulbs grow green and then mature to a soft juicy sweet deep purple in color. They generally range in size from approx 2" to 3" in thickness.
Looking around even more, I see people on eBay selling cuttings using Jon's description! Does anyone have any info on what variety it may be or who collected?