Hello, I think that Alexios Komnenos, son of Andronikos and grandson of John II, byazntine emperor should be added as her father as a must highly possible candidate, because another candidate of her father Isaac Komnenos, son of John II was no longer mentioned in sources and chronicles after 1146, because he much like possible died soon after it, around 16 years before her birth https://en.wikipedia.org/wiki/Isaac_Komnenos_(son_of_John_II)