Context: Archaeologists discovered an inscription bearing the cognomen Saturninus, suggesting that the dwelling was owned by the important gens, or clan, Satria; a ring bearing the family name Cassius was also found, indicating that someone of the Cassii family married into the gens Satria and lived in the House of the Faun.

Question: who lived in the house of the faun?
Steam of consciousness below:
The relevant sentence in the passage is: Archaeologists discovered an inscription bearing the cognomen Saturninus, suggesting that the dwelling was owned by the important gens, or clan, Satria; a ring bearing the family name Cassius was also found, indicating that someone of the Cassii family married into the gens Satria and lived in the House of the Faun.
So, the answer is the important gens , or clan , Satria.