The High Holly was a version of Holly created by the triplicator.
This Holly wore a hood, similar to those worn by the High crew. She appeared on her screen as a floating head that moved around and wavered as if being seen from multiple angles. She spoke with an echoing voice.
High Holly was forced to intrude upon the evening of music and poetry prepared by her crew, in order to inform them of the distress call from the Low Red Dwarf.
She was combined with her Low counterpart when Kryten reintegrated the two ships and restored Holly. ("Demons & Angels")