Short answers, pulled from the story.
Madeleine de La Tour d'Auvergne entered the world in 1498 as a younger daughter of Jean III de La Tour and Jeanne de Bourbon. Her father held the title Count of Auvergne and Lauraguais from 1467 until his death on the 28th of March 1501.
Madeleine de La Tour d'Auvergne married Duke Lorenzo II de' Medici at Château d'Amboise on the 5th of May 1518. This union bridged French nobility with Florentine power through a diplomatic arrangement orchestrated by Francis I of France.
Following the death of Madeleine de La Tour d'Auvergne, her titles were absorbed into the French Crown through her daughter Catherine de' Medici. The barony of La Tour transferred to the young girl before these titles were fully integrated into the monarchy.
Madeleine de La Tour d'Auvergne died in Italy shortly before her husband on the 28th of April 1519. Medical historians believe she succumbed to the plague though some speculate infection by syphilis from her husband.
Madeleine de La Tour d'Auvergne gave birth to a daughter named Catherine de' Medici on the 13th of April 1519. This child became the future Queen of France and consort of Henry II while inheriting the Counties of Auvergne and Boulogne following Anne's death.