According to Rush University Medical Center, normal weight for a 5 foot 3 inch person ranges from 103 to 135 pounds. A variety of factors, including age and sex, can cause these numbers to fluctuate, but a person in this range is typically considered healthy.
According to Wikipedia, body mass index (BMI) is a more accurate way to determine a healthy weight. BMI is calculated by comparing a person's height with his weight. While it is not precise, it does give a general estimate of body fat percentage. Healthy BMI ranges from 18.5 to 22.9. A body fat percentage test is a more accurate test that can be administered by a doctor or at home with a device designed for that purpose.