I've heard Hillary Clinton claim many times that she help create the children's health program known as SCHIP. But it turns out, the claims aren't true:

... the Clinton White House, while supportive of the idea of expanding children's health, fought the first SCHIP effort, spearheaded by Senators Edward M. Kennedy, Democrat of Massachusetts, and Orrin G. Hatch, Republican of Utah, because of fears that it would derail a bigger budget bill. And several current and former lawmakers and staff said Hillary Clinton had no role in helping to write the congressional legislation, which grew out of a similar program approved in Massachusetts in 1996.