Anne Geneviève was the only child of Madame de Ventadour, governess of the young Louis XV.
The marriage never materialised as Anne Geneviève's mother as well as grandmother Louise de Prie opposed the union.
As the House of La Tour d'Auvergne ranked as Foreign princes at Versailles, this entitled them to the style of Highness.
She lost her only son Jules to smallpox in 1724 as well as her daughter in law Anne Julie de Melun.
Her grandson, Charles, Prince of Soubise was born in 1710 and after the death of his parents, was raised by his grand father Hercule Mériadec.
Charles was later a great friend of Louis XV and the great-grandfather of the murdered Duke of Enghien through his eldest daughter Charlotte.