Lucrezia Is A Girl’s Name Of Latin Origin Meaning “profit.” This Name Has Noble Links That Date All The Way Back To The 1500s. Lucrezia Borgia Was A Spanish-Italian Noblewoman Of The House Of Borgia And The Daughter Of Pope Alexander VI. Lucrezia Reigned As The Governor Of Spoleto, A Position That Was Usually Held By Cardinals. For A Noble Name With Italian Links, Look No Further Than Lucrezia.