Also, I haven't had her tested yet. Is there a recommended test for giftedness?
According to Dabrowski, these individuals may exhibit their supersensitivity in the physical, sensual, imaginational, intellectual, and emotional arenas. They may be more sensitive to the tags in their clothing, have food allergies, be distracted by noises that are barely perceptible to us -- like the hum of an air conditioner, or show little need for sleep.
A good summary of Dabrowski's theory can be found in the first chapter of Linda Silverman's book, Counseling the Gifted and Talented.
Regarding testing, there are a variety of tests that are used to assess giftedness in children. In fact, psychologists often recommend that the best way to determine if a child is gifted is to look at their performance in a number of ways. These might include group or individual tests (both achievement and intelligence), interviews with parents and teachers, samples of work, behavior, and other indications of high ability or performance.
It's also important that the tests that are selected relate to the kind of program in which the child might be placed. For example, if the gifted program has a heavy emphasis on creative thinking, the tests should include some measure of creativity. Or, if the program accents leadership, more should be evaluated than just academic achievement.