Hi Peg -
We're the Girl Scouts of the Jersey Shore. We're increasing our efforts to include individual girls in our programs and activities. We recently created a separate department just to handle these girls who are fully involved with Girl Scouts, just in a troop - they can go to programs, camp, travel, etc. (They even sell cookies. :-) )
We're looking for a logo for that specific aspect of our organization. We started calling these girls "I-Girls" (or iGirls) and the name stuck. The logo you create doesn't need to mention Girl Scouts of the Jersey Shore at all. I'm sure we'll have that branded in many other places on items that include the iGirl logo.
Hope that helps.