This is also the case for the American schools but in their case the founders picked mythical beings rather than their own names.
Mythological names for houses. In typical mythologies characters were either depicted as male or female. In Norse mythology this was the name of a goat that would eat the leaves from the tree of life and produce mead in her udder. Misty - foggy - showers - etc.
House names - Harry Potter. Melanthios m Greek Mythology Ancient Greek. Oedipus m Greek Mythology Latinized Latinized form of Greek Οἰδίπους Oidipous meaning swollen foot from οἰδέω oideo meaning to swell and πούς pous meaning foot.
However there are some mythological characters who might be considered genderless for different reasons. He is one of the chief gods in the Rigveda. They are tiny diaphanous fairies whose food is toadstools and fairy butter a fungoid substance found in the roots of old trees and in limstone crevices.
Ajax m Greek Mythology Latinized From the Greek name Αἴας Aias perhaps deriving from Greek αἰαστής aiastes meaning mourner or αἶα aia meaning earth land. Derived from Greek μέλας melas meaning black dark and ἄνθος anthos meaning flower. House in the Mists sounds good to me.
Unisex Names From Mythology. Means brilliant or spring in Sanskrit. Moon symbolizes peace and Brightness.
Sometimes ancient mythological names. Ancient Greek name English name Description Ἀχλύς Akhlús Achlys. The pantheon of Greek and Roman deities such as Athena and Luna along with figures from Celtic Irish Norse Hindu and other classic myths and legends can provide an abundant source of audacious options all combining deep history with not-heard-in-a-long-time freshness.