Morgan. "Joanie, boanie,, stick of macaroni," I have heard that 1,000 times. I am exactly your weight, but I am also 1 1/2" shorter. You would look healthier with an extra 10 lbs. I am always working on adding a few pounds. I force myself to eat breakfast and eat/snack whenever I am the tiniest bit hungry. A man likes a little meat on a woman's bones. Best wishes.
I have the exact same measurements (height and weight) and we are about the same age. I have friends your age who are shorter than me and weight more, this is because of their diet and body frame. If you eat healthy and get regular exercise, you are fine :) Also body frame and heredity have an impact on your height and weight.
I would say you are a perfect height and weight. If you are concerned talk to your doctor.