Ezuki Himawari manga
From Shoujo Manga Maniac: Duan Cheng Feng's aunt is one of the emperor's concubines. In order to keep her high ranking status, she gives the emperor a child, but to her dismay, it's a girl! She tries to convince her family to exchange the female baby for their nephew. In order to avoid it, the young boy's parents fake a serious illness to make her give up her plan. But ambition doesn't stop over such a minor detail...
Deep in the palace, lives a girl named Yu Pan. Forbidden by her mother to go even to the outside, Yu Pan entertains herself by learning as many things as possible to be fit to be one of the Prince's mistress. Because of her eagerness and talent, the emperor invites Yu Pan to study with the Prince. Can she love someone whom she's never even met...? -- Manga Updates
Second part of the Agreement of the Glass Shoe trilogy. All 3 parts are linked by a pair of marbles with glass shoes embedded in them.
Summary written by YingYangChan and revised by Aymie of In The Water: She's a girl who's turning 17--great, right? Well, THINK AGAIN! Out of the blue, her parents leave her to go on a vacation trip around the world, but...they did leave her one million dollars to spend! Discover this charming girl's journey into adulthood through this hilarious manga.
Total of 2 volumes, separated into 3 parts: I. Agreement of the Glass Shoe. II. Dolls Music Staff. III. White Night Fantasia. The 3 parts are linked by a pair of marbles with glass shoes embedded in them.