I don't recall all the details off the top of my head. I should have some articles saved from way back then, but don't presently have time to wade through them. Happily Google found a good starting overview in this 8/15/2003 WSJ lookback:
Hillary's Vaccine Shortage. It's behind their paywall but Googling the title, then linking through that works as usual. I seem to recall the details made her look even worse than this WSJ piece stated.