Turton names Beatrix "de Valperge" and has her daughter of Guy de Valperge & Beatrice de Visconti, quite a different ancestry. Ancestral Roots has questions about its identification of Beatrix de Faucigny. I see most people on soc.genealogy.medieval having Beatrix de Faucigny, but a few have Beatrix de Valperge. Nobody knows for sure. I am following AR on this one.