If a good idea, song, character or plot for a book, etc comes to you in a dream, is it your idea / creativity? Or is creativity only things you work on consciously?

Often times, dreams are results of issues we work on or think about during our wakeful hours. But what about if, somewhat randomly, a great idea, song, work of art, comes to you In a dream? And it actually IS a good idea that other people like, or a perfectly workable solution to a problem?

Of course, the idea is YOURS, not a “public domain” thing; and you are credited with the idea if it originates in your subconscious. But then again, is that just like observing it elsewhere—since you didn’t “think” it up? Is a person really brilliant, creative, gifted—if the idea is not what they thought up consciously?