Actually scratch the whole generational thing but I do think one reason why Maleficent might have gone after Aurora was that Maleficent saw Aurora as the child she could never have and the child of Aurora’s mother and her ex.
Think there could be curses, spells affecting generations, though not in this case. If you’re looking for some inspiration about Aurora’s stories, and probably what the writers of OUaT took as inspiration, suggest to read the text of Charles Perrault’s version of The Sleeping Beauty In The Wood or the tale of the Italian author Basile “Sole, Luna, e Talia” (Sun, Moon and Talia). There the mother of the prince, then king, tries to kill the princess and her children Aurora and Day.