I don't know Barb, I would think that you need to include her name as a secondary author...did you have supervision meetings at all during this time and is the article on materials/content/data that comprise part of your PhD? What rule does your university have on publications and authors? Generally, the rule here (Australia) is that you do include your supervisors as secondary authors even if their contribution was just basic supervision of your overall project. Personally , I think I understand where you are coming from and why you don't want to include her but my thoughts would be that, even so, you would include her as a secondary author as you were under supervision at the time of the study and data collection.