EMLA is good as long as it is applied like cake frosting and occluded. It needs to be on the skin for an hour or two for some areas, maybe a little less for your daughters upper lip??? It is definitely worth a try.
I usually pinch and pull down the skin of the upper lip when I work in the middle. I use high intensity and low timing and that usually brings about relief, even in the absence of a topical anesthetic. Also, the area can naturally numb itself with the endorphins after several insertions are made. It is kind of cool how Mother Nature's naturally occurring pain killers work.
Good luck to your daughter and kudos for her determination!
Dee Fahey, R.N., C.T.
Licensed by the State Medical Board of Ohio for Nursing license and Cosmetic Therapy/Electrolysis license
British Institute & Association of Electrolysishttp://www.electrolysis.co.uk/?page_id=16