Not quite. First off, you’re mixing up the de Charny family and the de Charney family. Geoffroi de Charney was the Templar commander of Normandy, the one who was burned with Jacques de Molay. Geoffroi de Charny was the guy who announced to the world that he had the Shroud. They are two entirely separate and distinct families. There is absolutely no sign that the two families were connected in any meaningful way, or that the de Charny family had anything much to do with the Templars. All of the legends connecting or combining the two families are of recent invention.
The Shroud first appeared in Constantinople sometime in the 1100’s AD at the latest. Robert de Clari, one of the people who mentioned it, writes of it (in his La Conqu