I assumed the third name (Chan Yuen Woo) was the Green Grass Monk, which gave the Fut (Buddha) part of the name.
Chan Yuen Wu never taught Fut Gar. Back when we all started this on the forum back then, Chan Yuen Wu was said to have taught Hung Kuen. Even the current guy from the Lee Iu Lineage, wrote that it was Hung Kuen. Then our brother from New York CLF states it was "Hung Fut" and not Hung Kuen. Not sure if people just don't know, but even Hung Fut puts Chan Yuen Wu in the picture. but Chan Yuen was the normal alias of Choy Dak Jung, the first of the 5 Hung Mun founders.