It was Pierre who carried around radium in his pocket. But he didn't die from it. He died because he was hit by a military horse-drawn supply wagon while crossing the street.
Marie Curie died of leukemia (as did her also Nobel Prize winning daughter). Leukemia can come from radiation, but most of it probably comes from other things. Most of the radiation Marie Curie received was not from radioactive materials but from x-rays.
Marie Curie invented the first portable x-ray machine and trained hundreds of French nurses in its use. These women, including Marie, were out in the battlefield in the First World War x-raying French soldiers who were to go into immediate surgery. This undoubtedly saved thousands of lives but it exposed the x-rayers to large doses of x-rays because they had no protection and were doing it all day (and night).
X-rays have no connection to radioactivity.