IMO, it is either the hair geometry is getting too close to her face (try an even lower rayepsilon, or morph the hair away from her face in that area, or maybe the gamma or power is not set right for the transmap?)

Or it's a reflection, so try zoming in to the area, and replace the environment image with a floattexture and see if that changes it.  Specular at 0.004 should pretty much make the material diffuse (no reflections). 

Creator of PoserPhysics
Creator of OctaneRender for Poser
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