Transmigrated as the only daughter of a duke (Manhwa Crossover)

My family betrayed me. My mother who only cares about sleeping with men, My father who just wants more and more power, My younger brother who found their love and ran away from the family. In the end my father ordered to execute me on false charges. Now that I open my eyes I am nothing but a baby who needs to taken care. . .
Let's see how my destiny will be in my new life. . .