I figured it out. I copied the FormID of the new race and pasted it into Notepad, then changed it to the FormID of the race I wanted the hairs from. Then it was a simple matter of drag and drop the hairs (and the eyes, since I wanted those too). As a last step, I changed the formID of the new race back to what it was, declined to update any records in the master, and saved the new race's .esp file.
OOPS I meant to edit the first post, not reply... anyway I think this might be valuable information to some