I am looking for the name of the book of a girl who is very ugly and she is adopted by a family who runs a hotel. She goes on an adventure and
This sounds like Fairest, by Gail Carson Levine. Here is a description:
Fifteen-year-old narrator Aza is anything but pretty. In fact, she is so unsightly that her loving innkeeper parents (who found Aza abandoned as a baby) keep her hidden from most of their guests. However, Aza possesses two special gifts and when, through a series of events, she winds up in the royal court, her talents draw notice. She has a stunning singing voice (something prized among her fellow Ayorthaians), and she has the ability to throw her voice, so that it appears that someone else is singing (a talent that comes in handy when the vocally challenged queen is asked to sing in public). After Aza is made lady-in-waiting, she discovers a magic mirror that has the power to make her the fairest in the land. But becoming a raving beauty brings more heartache than joy and could even cost Aza her life. Readers will instantly fall in love with the heroine, whose heart proves to be as warm as her voice. They will eagerly follow Aza's circuitous journey, one that leads to a tribe of gnomes (who may be distant relatives), lures Aza into a deadly trap and eventually brings her back to court, where she reunites with the man she adores, a prince who recognizes her inner beauty.
You can place a hold on it at http://omaha.bibliocommons.com/item/show/1100368060_fairest
I hope this is the one you are thinking of!